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Finding the Fourth Proportional to 397.74, 592.40 and 392.93

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Solution

The fourth proportional to 397.74, 592.40 and 392.93 is: 585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.74 : 592.40 = 392.93 : x
  2. Step 2: Convert to fraction form
    397.74/592.40 = 392.93/x
  3. Step 3: Cross multiply
    397.74x = 592.40 × 392.93
  4. Step 4: Simplify right side
    397.74x = 232,766.81
  5. Step 5: Solve for x
    x = 232,766.81/397.74
  6. Step 6: Final answer
    x = 585.22

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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.