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Finding the Fourth Proportional to 933.70, 1,398.73 and 542.74

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Solution

The fourth proportional to 933.70, 1,398.73 and 542.74 is: 813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.70 : 1,398.73 = 542.74 : x
  2. Step 2: Convert to fraction form
    933.70/1,398.73 = 542.74/x
  3. Step 3: Cross multiply
    933.70x = 1,398.73 × 542.74
  4. Step 4: Simplify right side
    933.70x = 759,146.72
  5. Step 5: Solve for x
    x = 759,146.72/933.70
  6. Step 6: Final answer
    x = 813.05

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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.