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Finding the Fourth Proportional to 1,120.72, 1,681.14 and 427.45

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Solution

The fourth proportional to 1,120.72, 1,681.14 and 427.45 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.72 : 1,681.14 = 427.45 : x
  2. Step 2: Convert to fraction form
    1,120.72/1,681.14 = 427.45/x
  3. Step 3: Cross multiply
    1,120.72x = 1,681.14 × 427.45
  4. Step 4: Simplify right side
    1,120.72x = 718,607.97
  5. Step 5: Solve for x
    x = 718,607.97/1,120.72
  6. Step 6: Final answer
    x = 641.20

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Double scale
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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.