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Finding the Fourth Proportional to 932.20, 1,285.58 and 745.70

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Solution

The fourth proportional to 932.20, 1,285.58 and 745.70 is: 1,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.20 : 1,285.58 = 745.70 : x
  2. Step 2: Convert to fraction form
    932.20/1,285.58 = 745.70/x
  3. Step 3: Cross multiply
    932.20x = 1,285.58 × 745.70
  4. Step 4: Simplify right side
    932.20x = 958,646.85
  5. Step 5: Solve for x
    x = 958,646.85/932.20
  6. Step 6: Final answer
    x = 1,028.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.