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Finding the Fourth Proportional to 772.64, 1,158.12 and 362.06

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Solution

The fourth proportional to 772.64, 1,158.12 and 362.06 is: 542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.64 : 1,158.12 = 362.06 : x
  2. Step 2: Convert to fraction form
    772.64/1,158.12 = 362.06/x
  3. Step 3: Cross multiply
    772.64x = 1,158.12 × 362.06
  4. Step 4: Simplify right side
    772.64x = 419,308.93
  5. Step 5: Solve for x
    x = 419,308.93/772.64
  6. Step 6: Final answer
    x = 542.70

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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.