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Finding the Fourth Proportional to 459.36, 689.64 and 387.76

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Solution

The fourth proportional to 459.36, 689.64 and 387.76 is: 582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.36 : 689.64 = 387.76 : x
  2. Step 2: Convert to fraction form
    459.36/689.64 = 387.76/x
  3. Step 3: Cross multiply
    459.36x = 689.64 × 387.76
  4. Step 4: Simplify right side
    459.36x = 267,414.81
  5. Step 5: Solve for x
    x = 267,414.81/459.36
  6. Step 6: Final answer
    x = 582.15

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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.