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Finding the Fourth Proportional to 701.61, 1,047.71 and 661.11

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Solution

The fourth proportional to 701.61, 1,047.71 and 661.11 is: 987.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.61 : 1,047.71 = 661.11 : x
  2. Step 2: Convert to fraction form
    701.61/1,047.71 = 661.11/x
  3. Step 3: Cross multiply
    701.61x = 1,047.71 × 661.11
  4. Step 4: Simplify right side
    701.61x = 692,651.56
  5. Step 5: Solve for x
    x = 692,651.56/701.61
  6. Step 6: Final answer
    x = 987.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.