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Finding the Fourth Proportional to 1,126.70, 1,554.55 and 684.61

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Solution

The fourth proportional to 1,126.70, 1,554.55 and 684.61 is: 944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.70 : 1,554.55 = 684.61 : x
  2. Step 2: Convert to fraction form
    1,126.70/1,554.55 = 684.61/x
  3. Step 3: Cross multiply
    1,126.70x = 1,554.55 × 684.61
  4. Step 4: Simplify right side
    1,126.70x = 1,064,260.48
  5. Step 5: Solve for x
    x = 1,064,260.48/1,126.70
  6. Step 6: Final answer
    x = 944.58

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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.