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Finding the Fourth Proportional to 942.56, 1,411.21 and 710.72

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Solution

The fourth proportional to 942.56, 1,411.21 and 710.72 is: 1,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.56 : 1,411.21 = 710.72 : x
  2. Step 2: Convert to fraction form
    942.56/1,411.21 = 710.72/x
  3. Step 3: Cross multiply
    942.56x = 1,411.21 × 710.72
  4. Step 4: Simplify right side
    942.56x = 1,002,981.23
  5. Step 5: Solve for x
    x = 1,002,981.23/942.56
  6. Step 6: Final answer
    x = 1,064.10

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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.