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Finding the Fourth Proportional to 933.86, 1,398.68 and 538.04

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Solution

The fourth proportional to 933.86, 1,398.68 and 538.04 is: 805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.86 : 1,398.68 = 538.04 : x
  2. Step 2: Convert to fraction form
    933.86/1,398.68 = 538.04/x
  3. Step 3: Cross multiply
    933.86x = 1,398.68 × 538.04
  4. Step 4: Simplify right side
    933.86x = 752,545.79
  5. Step 5: Solve for x
    x = 752,545.79/933.86
  6. Step 6: Final answer
    x = 805.84

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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.