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Finding the Fourth Proportional to 477.61, 719.67 and 392.84

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Solution

The fourth proportional to 477.61, 719.67 and 392.84 is: 591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.61 : 719.67 = 392.84 : x
  2. Step 2: Convert to fraction form
    477.61/719.67 = 392.84/x
  3. Step 3: Cross multiply
    477.61x = 719.67 × 392.84
  4. Step 4: Simplify right side
    477.61x = 282,713.20
  5. Step 5: Solve for x
    x = 282,713.20/477.61
  6. Step 6: Final answer
    x = 591.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.