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Finding the Fourth Proportional to 515.19, 707.53 and 432.15

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Solution

The fourth proportional to 515.19, 707.53 and 432.15 is: 593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.19 : 707.53 = 432.15 : x
  2. Step 2: Convert to fraction form
    515.19/707.53 = 432.15/x
  3. Step 3: Cross multiply
    515.19x = 707.53 × 432.15
  4. Step 4: Simplify right side
    515.19x = 305,760.75
  5. Step 5: Solve for x
    x = 305,760.75/515.19
  6. Step 6: Final answer
    x = 593.49

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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.