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Finding the Fourth Proportional to 1,121.16, 1,681.47 and 427.92

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Solution

The fourth proportional to 1,121.16, 1,681.47 and 427.92 is: 641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.16 : 1,681.47 = 427.92 : x
  2. Step 2: Convert to fraction form
    1,121.16/1,681.47 = 427.92/x
  3. Step 3: Cross multiply
    1,121.16x = 1,681.47 × 427.92
  4. Step 4: Simplify right side
    1,121.16x = 719,534.64
  5. Step 5: Solve for x
    x = 719,534.64/1,121.16
  6. Step 6: Final answer
    x = 641.78

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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.