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Finding the Fourth Proportional to 906.70, 1,360.05 and 542.20

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Solution

The fourth proportional to 906.70, 1,360.05 and 542.20 is: 813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.70 : 1,360.05 = 542.20 : x
  2. Step 2: Convert to fraction form
    906.70/1,360.05 = 542.20/x
  3. Step 3: Cross multiply
    906.70x = 1,360.05 × 542.20
  4. Step 4: Simplify right side
    906.70x = 737,419.11
  5. Step 5: Solve for x
    x = 737,419.11/906.70
  6. Step 6: Final answer
    x = 813.30

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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.