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Finding the Fourth Proportional to 497.87, 688.26 and 456.36

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Solution

The fourth proportional to 497.87, 688.26 and 456.36 is: 630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.87 : 688.26 = 456.36 : x
  2. Step 2: Convert to fraction form
    497.87/688.26 = 456.36/x
  3. Step 3: Cross multiply
    497.87x = 688.26 × 456.36
  4. Step 4: Simplify right side
    497.87x = 314,090.89
  5. Step 5: Solve for x
    x = 314,090.89/497.87
  6. Step 6: Final answer
    x = 630.87

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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.