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Finding the Fourth Proportional to 781.32, 1,078.65 and 533.01

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Solution

The fourth proportional to 781.32, 1,078.65 and 533.01 is: 735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.32 : 1,078.65 = 533.01 : x
  2. Step 2: Convert to fraction form
    781.32/1,078.65 = 533.01/x
  3. Step 3: Cross multiply
    781.32x = 1,078.65 × 533.01
  4. Step 4: Simplify right side
    781.32x = 574,931.24
  5. Step 5: Solve for x
    x = 574,931.24/781.32
  6. Step 6: Final answer
    x = 735.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.