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Finding the Fourth Proportional to 878.24, 1,211.28 and 567.20

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Solution

The fourth proportional to 878.24, 1,211.28 and 567.20 is: 782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.24 : 1,211.28 = 567.20 : x
  2. Step 2: Convert to fraction form
    878.24/1,211.28 = 567.20/x
  3. Step 3: Cross multiply
    878.24x = 1,211.28 × 567.20
  4. Step 4: Simplify right side
    878.24x = 687,038.02
  5. Step 5: Solve for x
    x = 687,038.02/878.24
  6. Step 6: Final answer
    x = 782.29

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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.