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Finding the Fourth Proportional to 477.59, 715.57 and 312.87

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Solution

The fourth proportional to 477.59, 715.57 and 312.87 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.59 : 715.57 = 312.87 : x
  2. Step 2: Convert to fraction form
    477.59/715.57 = 312.87/x
  3. Step 3: Cross multiply
    477.59x = 715.57 × 312.87
  4. Step 4: Simplify right side
    477.59x = 223,883.46
  5. Step 5: Solve for x
    x = 223,883.46/477.59
  6. Step 6: Final answer
    x = 468.78

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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.