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Finding the Fourth Proportional to 933.13, 1,398.54 and 471.04

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Solution

The fourth proportional to 933.13, 1,398.54 and 471.04 is: 705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.13 : 1,398.54 = 471.04 : x
  2. Step 2: Convert to fraction form
    933.13/1,398.54 = 471.04/x
  3. Step 3: Cross multiply
    933.13x = 1,398.54 × 471.04
  4. Step 4: Simplify right side
    933.13x = 658,765.94
  5. Step 5: Solve for x
    x = 658,765.94/933.13
  6. Step 6: Final answer
    x = 705.98

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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.