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Finding the Fourth Proportional to 775.28, 1,165.35 and 614.90

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Solution

The fourth proportional to 775.28, 1,165.35 and 614.90 is: 924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.28 : 1,165.35 = 614.90 : x
  2. Step 2: Convert to fraction form
    775.28/1,165.35 = 614.90/x
  3. Step 3: Cross multiply
    775.28x = 1,165.35 × 614.90
  4. Step 4: Simplify right side
    775.28x = 716,573.72
  5. Step 5: Solve for x
    x = 716,573.72/775.28
  6. Step 6: Final answer
    x = 924.28

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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.