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Finding the Fourth Proportional to 810.71, 1,214.24 and 568.32

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Solution

The fourth proportional to 810.71, 1,214.24 and 568.32 is: 851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.71 : 1,214.24 = 568.32 : x
  2. Step 2: Convert to fraction form
    810.71/1,214.24 = 568.32/x
  3. Step 3: Cross multiply
    810.71x = 1,214.24 × 568.32
  4. Step 4: Simplify right side
    810.71x = 690,076.88
  5. Step 5: Solve for x
    x = 690,076.88/810.71
  6. Step 6: Final answer
    x = 851.20

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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.