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Finding the Fourth Proportional to 933.20, 1,398.18 and 499.58

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Solution

The fourth proportional to 933.20, 1,398.18 and 499.58 is: 748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.20 : 1,398.18 = 499.58 : x
  2. Step 2: Convert to fraction form
    933.20/1,398.18 = 499.58/x
  3. Step 3: Cross multiply
    933.20x = 1,398.18 × 499.58
  4. Step 4: Simplify right side
    933.20x = 698,500.27
  5. Step 5: Solve for x
    x = 698,500.27/933.20
  6. Step 6: Final answer
    x = 748.50

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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.