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Finding the Fourth Proportional to 1,054.48, 1,581.72 and 689.57

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Solution

The fourth proportional to 1,054.48, 1,581.72 and 689.57 is: 1,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.48 : 1,581.72 = 689.57 : x
  2. Step 2: Convert to fraction form
    1,054.48/1,581.72 = 689.57/x
  3. Step 3: Cross multiply
    1,054.48x = 1,581.72 × 689.57
  4. Step 4: Simplify right side
    1,054.48x = 1,090,706.66
  5. Step 5: Solve for x
    x = 1,090,706.66/1,054.48
  6. Step 6: Final answer
    x = 1,034.36

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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.