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Finding the Fourth Proportional to 942.54, 1,300.71 and 544.17

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Solution

The fourth proportional to 942.54, 1,300.71 and 544.17 is: 750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.54 : 1,300.71 = 544.17 : x
  2. Step 2: Convert to fraction form
    942.54/1,300.71 = 544.17/x
  3. Step 3: Cross multiply
    942.54x = 1,300.71 × 544.17
  4. Step 4: Simplify right side
    942.54x = 707,803.90
  5. Step 5: Solve for x
    x = 707,803.90/942.54
  6. Step 6: Final answer
    x = 750.96

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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.