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Finding the Fourth Proportional to 515.62, 709.50 and 501.26

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Solution

The fourth proportional to 515.62, 709.50 and 501.26 is: 689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.62 : 709.50 = 501.26 : x
  2. Step 2: Convert to fraction form
    515.62/709.50 = 501.26/x
  3. Step 3: Cross multiply
    515.62x = 709.50 × 501.26
  4. Step 4: Simplify right side
    515.62x = 355,641.46
  5. Step 5: Solve for x
    x = 355,641.46/515.62
  6. Step 6: Final answer
    x = 689.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.