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Finding the Fourth Proportional to 696.76, 1,045.84 and 581.96

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Solution

The fourth proportional to 696.76, 1,045.84 and 581.96 is: 873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.76 : 1,045.84 = 581.96 : x
  2. Step 2: Convert to fraction form
    696.76/1,045.84 = 581.96/x
  3. Step 3: Cross multiply
    696.76x = 1,045.84 × 581.96
  4. Step 4: Simplify right side
    696.76x = 608,637.05
  5. Step 5: Solve for x
    x = 608,637.05/696.76
  6. Step 6: Final answer
    x = 873.52

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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.