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Finding the Fourth Proportional to 933.08, 1,398.68 and 347.70

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Solution

The fourth proportional to 933.08, 1,398.68 and 347.70 is: 521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.08 : 1,398.68 = 347.70 : x
  2. Step 2: Convert to fraction form
    933.08/1,398.68 = 347.70/x
  3. Step 3: Cross multiply
    933.08x = 1,398.68 × 347.70
  4. Step 4: Simplify right side
    933.08x = 486,319.30
  5. Step 5: Solve for x
    x = 486,319.30/933.08
  6. Step 6: Final answer
    x = 521.20

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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.