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Finding the Fourth Proportional to 862.32, 1,190.16 and 567

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Solution

The fourth proportional to 862.32, 1,190.16 and 567 is: 782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.32 : 1,190.16 = 567 : x
  2. Step 2: Convert to fraction form
    862.32/1,190.16 = 567/x
  3. Step 3: Cross multiply
    862.32x = 1,190.16 × 567
  4. Step 4: Simplify right side
    862.32x = 674,820.72
  5. Step 5: Solve for x
    x = 674,820.72/862.32
  6. Step 6: Final answer
    x = 782.56

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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.