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Finding the Fourth Proportional to 696.10, 1,042.78 and 566.25

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Solution

The fourth proportional to 696.10, 1,042.78 and 566.25 is: 848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.10 : 1,042.78 = 566.25 : x
  2. Step 2: Convert to fraction form
    696.10/1,042.78 = 566.25/x
  3. Step 3: Cross multiply
    696.10x = 1,042.78 × 566.25
  4. Step 4: Simplify right side
    696.10x = 590,474.18
  5. Step 5: Solve for x
    x = 590,474.18/696.10
  6. Step 6: Final answer
    x = 848.26

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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.