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Finding the Fourth Proportional to 1,053.62, 1,454.29 and 704.18

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Solution

The fourth proportional to 1,053.62, 1,454.29 and 704.18 is: 971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.62 : 1,454.29 = 704.18 : x
  2. Step 2: Convert to fraction form
    1,053.62/1,454.29 = 704.18/x
  3. Step 3: Cross multiply
    1,053.62x = 1,454.29 × 704.18
  4. Step 4: Simplify right side
    1,053.62x = 1,024,081.93
  5. Step 5: Solve for x
    x = 1,024,081.93/1,053.62
  6. Step 6: Final answer
    x = 971.97

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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.