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Finding the Fourth Proportional to 1,710.28, 2,565.42 and 411.75

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Solution

The fourth proportional to 1,710.28, 2,565.42 and 411.75 is: 617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.28 : 2,565.42 = 411.75 : x
  2. Step 2: Convert to fraction form
    1,710.28/2,565.42 = 411.75/x
  3. Step 3: Cross multiply
    1,710.28x = 2,565.42 × 411.75
  4. Step 4: Simplify right side
    1,710.28x = 1,056,312.46
  5. Step 5: Solve for x
    x = 1,056,312.46/1,710.28
  6. Step 6: Final answer
    x = 617.63

Related Problems

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Half scale
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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.