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Finding the Fourth Proportional to 1,120.96, 1,681.45 and 462.68

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Solution

The fourth proportional to 1,120.96, 1,681.45 and 462.68 is: 694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.96 : 1,681.45 = 462.68 : x
  2. Step 2: Convert to fraction form
    1,120.96/1,681.45 = 462.68/x
  3. Step 3: Cross multiply
    1,120.96x = 1,681.45 × 462.68
  4. Step 4: Simplify right side
    1,120.96x = 777,973.29
  5. Step 5: Solve for x
    x = 777,973.29/1,120.96
  6. Step 6: Final answer
    x = 694.02

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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.