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Finding the Fourth Proportional to 886.24, 1,327.68 and 501.76

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Solution

The fourth proportional to 886.24, 1,327.68 and 501.76 is: 751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.24 : 1,327.68 = 501.76 : x
  2. Step 2: Convert to fraction form
    886.24/1,327.68 = 501.76/x
  3. Step 3: Cross multiply
    886.24x = 1,327.68 × 501.76
  4. Step 4: Simplify right side
    886.24x = 666,176.72
  5. Step 5: Solve for x
    x = 666,176.72/886.24
  6. Step 6: Final answer
    x = 751.69

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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.