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Finding the Fourth Proportional to 507.52, 699.42 and 498.16

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Solution

The fourth proportional to 507.52, 699.42 and 498.16 is: 686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 699.42 = 498.16 : x
  2. Step 2: Convert to fraction form
    507.52/699.42 = 498.16/x
  3. Step 3: Cross multiply
    507.52x = 699.42 × 498.16
  4. Step 4: Simplify right side
    507.52x = 348,423.07
  5. Step 5: Solve for x
    x = 348,423.07/507.52
  6. Step 6: Final answer
    x = 686.52

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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.