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Finding the Fourth Proportional to 775.74, 1,159.96 and 655.46

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Solution

The fourth proportional to 775.74, 1,159.96 and 655.46 is: 980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.74 : 1,159.96 = 655.46 : x
  2. Step 2: Convert to fraction form
    775.74/1,159.96 = 655.46/x
  3. Step 3: Cross multiply
    775.74x = 1,159.96 × 655.46
  4. Step 4: Simplify right side
    775.74x = 760,307.38
  5. Step 5: Solve for x
    x = 760,307.38/775.74
  6. Step 6: Final answer
    x = 980.11

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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.