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Finding the Fourth Proportional to 691.65, 1,037.48 and 569.66

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Solution

The fourth proportional to 691.65, 1,037.48 and 569.66 is: 854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.65 : 1,037.48 = 569.66 : x
  2. Step 2: Convert to fraction form
    691.65/1,037.48 = 569.66/x
  3. Step 3: Cross multiply
    691.65x = 1,037.48 × 569.66
  4. Step 4: Simplify right side
    691.65x = 591,002.82
  5. Step 5: Solve for x
    x = 591,002.82/691.65
  6. Step 6: Final answer
    x = 854.48

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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.