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Finding the Fourth Proportional to 933.52, 1,399.68 and 803.56

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Solution

The fourth proportional to 933.52, 1,399.68 and 803.56 is: 1,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.52 : 1,399.68 = 803.56 : x
  2. Step 2: Convert to fraction form
    933.52/1,399.68 = 803.56/x
  3. Step 3: Cross multiply
    933.52x = 1,399.68 × 803.56
  4. Step 4: Simplify right side
    933.52x = 1,124,726.86
  5. Step 5: Solve for x
    x = 1,124,726.86/933.52
  6. Step 6: Final answer
    x = 1,204.82

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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.