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Finding the Fourth Proportional to 1,710.39, 2,565.56 and 556.14

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Solution

The fourth proportional to 1,710.39, 2,565.56 and 556.14 is: 834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.39 : 2,565.56 = 556.14 : x
  2. Step 2: Convert to fraction form
    1,710.39/2,565.56 = 556.14/x
  3. Step 3: Cross multiply
    1,710.39x = 2,565.56 × 556.14
  4. Step 4: Simplify right side
    1,710.39x = 1,426,807.76
  5. Step 5: Solve for x
    x = 1,426,807.76/1,710.39
  6. Step 6: Final answer
    x = 834.20

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Double scale
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1.5x scale

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.