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Finding the Fourth Proportional to 942.32, 1,411.80 and 428.24

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Solution

The fourth proportional to 942.32, 1,411.80 and 428.24 is: 641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.32 : 1,411.80 = 428.24 : x
  2. Step 2: Convert to fraction form
    942.32/1,411.80 = 428.24/x
  3. Step 3: Cross multiply
    942.32x = 1,411.80 × 428.24
  4. Step 4: Simplify right side
    942.32x = 604,589.23
  5. Step 5: Solve for x
    x = 604,589.23/942.32
  6. Step 6: Final answer
    x = 641.60

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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.