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Finding the Fourth Proportional to 772.04, 1,155.90 and 528.20

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Solution

The fourth proportional to 772.04, 1,155.90 and 528.20 is: 790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.04 : 1,155.90 = 528.20 : x
  2. Step 2: Convert to fraction form
    772.04/1,155.90 = 528.20/x
  3. Step 3: Cross multiply
    772.04x = 1,155.90 × 528.20
  4. Step 4: Simplify right side
    772.04x = 610,546.38
  5. Step 5: Solve for x
    x = 610,546.38/772.04
  6. Step 6: Final answer
    x = 790.82

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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.