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Finding the Fourth Proportional to 932.33, 1,398.75 and 830.32

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Solution

The fourth proportional to 932.33, 1,398.75 and 830.32 is: 1,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.33 : 1,398.75 = 830.32 : x
  2. Step 2: Convert to fraction form
    932.33/1,398.75 = 830.32/x
  3. Step 3: Cross multiply
    932.33x = 1,398.75 × 830.32
  4. Step 4: Simplify right side
    932.33x = 1,161,406.60
  5. Step 5: Solve for x
    x = 1,161,406.60/932.33
  6. Step 6: Final answer
    x = 1,245.70

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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.