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Finding the Fourth Proportional to 508.52, 700.80 and 499.16

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Solution

The fourth proportional to 508.52, 700.80 and 499.16 is: 687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.52 : 700.80 = 499.16 : x
  2. Step 2: Convert to fraction form
    508.52/700.80 = 499.16/x
  3. Step 3: Cross multiply
    508.52x = 700.80 × 499.16
  4. Step 4: Simplify right side
    508.52x = 349,811.33
  5. Step 5: Solve for x
    x = 349,811.33/508.52
  6. Step 6: Final answer
    x = 687.90

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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.