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Finding the Fourth Proportional to 713.16, 985.32 and 567

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Solution

The fourth proportional to 713.16, 985.32 and 567 is: 783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 985.32 = 567 : x
  2. Step 2: Convert to fraction form
    713.16/985.32 = 567/x
  3. Step 3: Cross multiply
    713.16x = 985.32 × 567
  4. Step 4: Simplify right side
    713.16x = 558,676.44
  5. Step 5: Solve for x
    x = 558,676.44/713.16
  6. Step 6: Final answer
    x = 783.38

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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.