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Finding the Fourth Proportional to 509.52, 702.18 and 500.16

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Solution

The fourth proportional to 509.52, 702.18 and 500.16 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 702.18 = 500.16 : x
  2. Step 2: Convert to fraction form
    509.52/702.18 = 500.16/x
  3. Step 3: Cross multiply
    509.52x = 702.18 × 500.16
  4. Step 4: Simplify right side
    509.52x = 351,202.35
  5. Step 5: Solve for x
    x = 351,202.35/509.52
  6. Step 6: Final answer
    x = 689.28

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