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Finding the Fourth Proportional to 460.82, 688.16 and 437.13

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Solution

The fourth proportional to 460.82, 688.16 and 437.13 is: 652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.82 : 688.16 = 437.13 : x
  2. Step 2: Convert to fraction form
    460.82/688.16 = 437.13/x
  3. Step 3: Cross multiply
    460.82x = 688.16 × 437.13
  4. Step 4: Simplify right side
    460.82x = 300,816.47
  5. Step 5: Solve for x
    x = 300,816.47/460.82
  6. Step 6: Final answer
    x = 652.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.