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Finding the Fourth Proportional to 955.91, 1,432.85 and 407.79

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Solution

The fourth proportional to 955.91, 1,432.85 and 407.79 is: 611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.91 : 1,432.85 = 407.79 : x
  2. Step 2: Convert to fraction form
    955.91/1,432.85 = 407.79/x
  3. Step 3: Cross multiply
    955.91x = 1,432.85 × 407.79
  4. Step 4: Simplify right side
    955.91x = 584,299.86
  5. Step 5: Solve for x
    x = 584,299.86/955.91
  6. Step 6: Final answer
    x = 611.25

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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.