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Finding the Fourth Proportional to 1,710.26, 2,565.79 and 556.10

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Solution

The fourth proportional to 1,710.26, 2,565.79 and 556.10 is: 834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.26 : 2,565.79 = 556.10 : x
  2. Step 2: Convert to fraction form
    1,710.26/2,565.79 = 556.10/x
  3. Step 3: Cross multiply
    1,710.26x = 2,565.79 × 556.10
  4. Step 4: Simplify right side
    1,710.26x = 1,426,835.82
  5. Step 5: Solve for x
    x = 1,426,835.82/1,710.26
  6. Step 6: Final answer
    x = 834.28

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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.