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Finding the Fourth Proportional to 886.24, 1,328.64 and 521.20

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Solution

The fourth proportional to 886.24, 1,328.64 and 521.20 is: 781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.24 : 1,328.64 = 521.20 : x
  2. Step 2: Convert to fraction form
    886.24/1,328.64 = 521.20/x
  3. Step 3: Cross multiply
    886.24x = 1,328.64 × 521.20
  4. Step 4: Simplify right side
    886.24x = 692,487.17
  5. Step 5: Solve for x
    x = 692,487.17/886.24
  6. Step 6: Final answer
    x = 781.38

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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.