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Finding the Fourth Proportional to 477.79, 716.17 and 312.74

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Solution

The fourth proportional to 477.79, 716.17 and 312.74 is: 468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.79 : 716.17 = 312.74 : x
  2. Step 2: Convert to fraction form
    477.79/716.17 = 312.74/x
  3. Step 3: Cross multiply
    477.79x = 716.17 × 312.74
  4. Step 4: Simplify right side
    477.79x = 223,975.01
  5. Step 5: Solve for x
    x = 223,975.01/477.79
  6. Step 6: Final answer
    x = 468.77

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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.