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Finding the Fourth Proportional to 728.34, 1,090.59 and 581.41

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Solution

The fourth proportional to 728.34, 1,090.59 and 581.41 is: 870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.34 : 1,090.59 = 581.41 : x
  2. Step 2: Convert to fraction form
    728.34/1,090.59 = 581.41/x
  3. Step 3: Cross multiply
    728.34x = 1,090.59 × 581.41
  4. Step 4: Simplify right side
    728.34x = 634,079.93
  5. Step 5: Solve for x
    x = 634,079.93/728.34
  6. Step 6: Final answer
    x = 870.58

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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.