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Finding the Fourth Proportional to 1,125.47, 1,554.23 and 1,064.12

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Solution

The fourth proportional to 1,125.47, 1,554.23 and 1,064.12 is: 1,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.47 : 1,554.23 = 1,064.12 : x
  2. Step 2: Convert to fraction form
    1,125.47/1,554.23 = 1,064.12/x
  3. Step 3: Cross multiply
    1,125.47x = 1,554.23 × 1,064.12
  4. Step 4: Simplify right side
    1,125.47x = 1,653,874.14
  5. Step 5: Solve for x
    x = 1,653,874.14/1,125.47
  6. Step 6: Final answer
    x = 1,469.49

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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.