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Finding the Fourth Proportional to 918.40, 1,266.48 and 813.52

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Solution

The fourth proportional to 918.40, 1,266.48 and 813.52 is: 1,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.40 : 1,266.48 = 813.52 : x
  2. Step 2: Convert to fraction form
    918.40/1,266.48 = 813.52/x
  3. Step 3: Cross multiply
    918.40x = 1,266.48 × 813.52
  4. Step 4: Simplify right side
    918.40x = 1,030,306.81
  5. Step 5: Solve for x
    x = 1,030,306.81/918.40
  6. Step 6: Final answer
    x = 1,121.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.