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Finding the Fourth Proportional to 497.64, 686.45 and 320.55

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Solution

The fourth proportional to 497.64, 686.45 and 320.55 is: 442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 686.45 = 320.55 : x
  2. Step 2: Convert to fraction form
    497.64/686.45 = 320.55/x
  3. Step 3: Cross multiply
    497.64x = 686.45 × 320.55
  4. Step 4: Simplify right side
    497.64x = 220,041.55
  5. Step 5: Solve for x
    x = 220,041.55/497.64
  6. Step 6: Final answer
    x = 442.17

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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.