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Finding the Fourth Proportional to 772.10, 1,155.80 and 527.94

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Solution

The fourth proportional to 772.10, 1,155.80 and 527.94 is: 790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.10 : 1,155.80 = 527.94 : x
  2. Step 2: Convert to fraction form
    772.10/1,155.80 = 527.94/x
  3. Step 3: Cross multiply
    772.10x = 1,155.80 × 527.94
  4. Step 4: Simplify right side
    772.10x = 610,193.05
  5. Step 5: Solve for x
    x = 610,193.05/772.10
  6. Step 6: Final answer
    x = 790.30

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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.