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Finding the Fourth Proportional to 707.09, 1,059.08 and 502.57

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Solution

The fourth proportional to 707.09, 1,059.08 and 502.57 is: 752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.09 : 1,059.08 = 502.57 : x
  2. Step 2: Convert to fraction form
    707.09/1,059.08 = 502.57/x
  3. Step 3: Cross multiply
    707.09x = 1,059.08 × 502.57
  4. Step 4: Simplify right side
    707.09x = 532,260.44
  5. Step 5: Solve for x
    x = 532,260.44/707.09
  6. Step 6: Final answer
    x = 752.75

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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.