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Finding the Fourth Proportional to 459.16, 687.96 and 442.30

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Solution

The fourth proportional to 459.16, 687.96 and 442.30 is: 662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.16 : 687.96 = 442.30 : x
  2. Step 2: Convert to fraction form
    459.16/687.96 = 442.30/x
  3. Step 3: Cross multiply
    459.16x = 687.96 × 442.30
  4. Step 4: Simplify right side
    459.16x = 304,284.71
  5. Step 5: Solve for x
    x = 304,284.71/459.16
  6. Step 6: Final answer
    x = 662.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.