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Finding the Fourth Proportional to 749.32, 1,124.28 and 468.16

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Solution

The fourth proportional to 749.32, 1,124.28 and 468.16 is: 702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.32 : 1,124.28 = 468.16 : x
  2. Step 2: Convert to fraction form
    749.32/1,124.28 = 468.16/x
  3. Step 3: Cross multiply
    749.32x = 1,124.28 × 468.16
  4. Step 4: Simplify right side
    749.32x = 526,342.92
  5. Step 5: Solve for x
    x = 526,342.92/749.32
  6. Step 6: Final answer
    x = 702.43

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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.