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Finding the Fourth Proportional to 515.64, 706.23 and 502.68

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Solution

The fourth proportional to 515.64, 706.23 and 502.68 is: 688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.64 : 706.23 = 502.68 : x
  2. Step 2: Convert to fraction form
    515.64/706.23 = 502.68/x
  3. Step 3: Cross multiply
    515.64x = 706.23 × 502.68
  4. Step 4: Simplify right side
    515.64x = 355,007.70
  5. Step 5: Solve for x
    x = 355,007.70/515.64
  6. Step 6: Final answer
    x = 688.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.