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Finding the Fourth Proportional to 738.55, 1,108.47 and 392.13

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Solution

The fourth proportional to 738.55, 1,108.47 and 392.13 is: 588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.55 : 1,108.47 = 392.13 : x
  2. Step 2: Convert to fraction form
    738.55/1,108.47 = 392.13/x
  3. Step 3: Cross multiply
    738.55x = 1,108.47 × 392.13
  4. Step 4: Simplify right side
    738.55x = 434,664.34
  5. Step 5: Solve for x
    x = 434,664.34/738.55
  6. Step 6: Final answer
    x = 588.54

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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.