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Finding the Fourth Proportional to 942.61, 1,411.17 and 700.21

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Solution

The fourth proportional to 942.61, 1,411.17 and 700.21 is: 1,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.61 : 1,411.17 = 700.21 : x
  2. Step 2: Convert to fraction form
    942.61/1,411.17 = 700.21/x
  3. Step 3: Cross multiply
    942.61x = 1,411.17 × 700.21
  4. Step 4: Simplify right side
    942.61x = 988,115.35
  5. Step 5: Solve for x
    x = 988,115.35/942.61
  6. Step 6: Final answer
    x = 1,048.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.