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Finding the Fourth Proportional to 932.41, 1,399.81 and 581.55

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Solution

The fourth proportional to 932.41, 1,399.81 and 581.55 is: 873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.41 : 1,399.81 = 581.55 : x
  2. Step 2: Convert to fraction form
    932.41/1,399.81 = 581.55/x
  3. Step 3: Cross multiply
    932.41x = 1,399.81 × 581.55
  4. Step 4: Simplify right side
    932.41x = 814,064.07
  5. Step 5: Solve for x
    x = 814,064.07/932.41
  6. Step 6: Final answer
    x = 873.07

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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.