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Finding the Fourth Proportional to 497.79, 687.08 and 320.87

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Solution

The fourth proportional to 497.79, 687.08 and 320.87 is: 442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.79 : 687.08 = 320.87 : x
  2. Step 2: Convert to fraction form
    497.79/687.08 = 320.87/x
  3. Step 3: Cross multiply
    497.79x = 687.08 × 320.87
  4. Step 4: Simplify right side
    497.79x = 220,461.76
  5. Step 5: Solve for x
    x = 220,461.76/497.79
  6. Step 6: Final answer
    x = 442.88

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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.