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Finding the Fourth Proportional to 1,125.66, 1,554.93 and 1,020.87

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Solution

The fourth proportional to 1,125.66, 1,554.93 and 1,020.87 is: 1,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.66 : 1,554.93 = 1,020.87 : x
  2. Step 2: Convert to fraction form
    1,125.66/1,554.93 = 1,020.87/x
  3. Step 3: Cross multiply
    1,125.66x = 1,554.93 × 1,020.87
  4. Step 4: Simplify right side
    1,125.66x = 1,587,381.39
  5. Step 5: Solve for x
    x = 1,587,381.39/1,125.66
  6. Step 6: Final answer
    x = 1,410.18

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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.