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Finding the Fourth Proportional to 730.44, 1,005.48 and 631.80

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Solution

The fourth proportional to 730.44, 1,005.48 and 631.80 is: 869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.44 : 1,005.48 = 631.80 : x
  2. Step 2: Convert to fraction form
    730.44/1,005.48 = 631.80/x
  3. Step 3: Cross multiply
    730.44x = 1,005.48 × 631.80
  4. Step 4: Simplify right side
    730.44x = 635,262.26
  5. Step 5: Solve for x
    x = 635,262.26/730.44
  6. Step 6: Final answer
    x = 869.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.