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Finding the Fourth Proportional to 477.93, 713.10 and 396.93

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Solution

The fourth proportional to 477.93, 713.10 and 396.93 is: 592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.93 : 713.10 = 396.93 : x
  2. Step 2: Convert to fraction form
    477.93/713.10 = 396.93/x
  3. Step 3: Cross multiply
    477.93x = 713.10 × 396.93
  4. Step 4: Simplify right side
    477.93x = 283,050.78
  5. Step 5: Solve for x
    x = 283,050.78/477.93
  6. Step 6: Final answer
    x = 592.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.