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Finding the Fourth Proportional to 730.40, 1,095.42 and 437.72

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Solution

The fourth proportional to 730.40, 1,095.42 and 437.72 is: 656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.40 : 1,095.42 = 437.72 : x
  2. Step 2: Convert to fraction form
    730.40/1,095.42 = 437.72/x
  3. Step 3: Cross multiply
    730.40x = 1,095.42 × 437.72
  4. Step 4: Simplify right side
    730.40x = 479,487.24
  5. Step 5: Solve for x
    x = 479,487.24/730.40
  6. Step 6: Final answer
    x = 656.47

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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.