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Finding the Fourth Proportional to 933.52, 1,399.40 and 470.77

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Solution

The fourth proportional to 933.52, 1,399.40 and 470.77 is: 705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.52 : 1,399.40 = 470.77 : x
  2. Step 2: Convert to fraction form
    933.52/1,399.40 = 470.77/x
  3. Step 3: Cross multiply
    933.52x = 1,399.40 × 470.77
  4. Step 4: Simplify right side
    933.52x = 658,799.64
  5. Step 5: Solve for x
    x = 658,799.64/933.52
  6. Step 6: Final answer
    x = 705.72

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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.