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Finding the Fourth Proportional to 697.58, 1,049.72 and 575.08

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Solution

The fourth proportional to 697.58, 1,049.72 and 575.08 is: 865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.58 : 1,049.72 = 575.08 : x
  2. Step 2: Convert to fraction form
    697.58/1,049.72 = 575.08/x
  3. Step 3: Cross multiply
    697.58x = 1,049.72 × 575.08
  4. Step 4: Simplify right side
    697.58x = 603,672.98
  5. Step 5: Solve for x
    x = 603,672.98/697.58
  6. Step 6: Final answer
    x = 865.38

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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.