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Finding the Fourth Proportional to 459.92, 686.62 and 442.64

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Solution

The fourth proportional to 459.92, 686.62 and 442.64 is: 660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 686.62 = 442.64 : x
  2. Step 2: Convert to fraction form
    459.92/686.62 = 442.64/x
  3. Step 3: Cross multiply
    459.92x = 686.62 × 442.64
  4. Step 4: Simplify right side
    459.92x = 303,925.48
  5. Step 5: Solve for x
    x = 303,925.48/459.92
  6. Step 6: Final answer
    x = 660.82

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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.