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Finding the Fourth Proportional to 696.56, 1,045.34 and 561.24

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Solution

The fourth proportional to 696.56, 1,045.34 and 561.24 is: 842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.56 : 1,045.34 = 561.24 : x
  2. Step 2: Convert to fraction form
    696.56/1,045.34 = 561.24/x
  3. Step 3: Cross multiply
    696.56x = 1,045.34 × 561.24
  4. Step 4: Simplify right side
    696.56x = 586,678.59
  5. Step 5: Solve for x
    x = 586,678.59/696.56
  6. Step 6: Final answer
    x = 842.26

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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.