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Finding the Fourth Proportional to 775.13, 1,159.78 and 544.47

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Solution

The fourth proportional to 775.13, 1,159.78 and 544.47 is: 814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.13 : 1,159.78 = 544.47 : x
  2. Step 2: Convert to fraction form
    775.13/1,159.78 = 544.47/x
  3. Step 3: Cross multiply
    775.13x = 1,159.78 × 544.47
  4. Step 4: Simplify right side
    775.13x = 631,465.42
  5. Step 5: Solve for x
    x = 631,465.42/775.13
  6. Step 6: Final answer
    x = 814.66

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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.