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Finding the Fourth Proportional to 691.68, 1,041.38 and 476.67

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Solution

The fourth proportional to 691.68, 1,041.38 and 476.67 is: 717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.68 : 1,041.38 = 476.67 : x
  2. Step 2: Convert to fraction form
    691.68/1,041.38 = 476.67/x
  3. Step 3: Cross multiply
    691.68x = 1,041.38 × 476.67
  4. Step 4: Simplify right side
    691.68x = 496,392.22
  5. Step 5: Solve for x
    x = 496,392.22/691.68
  6. Step 6: Final answer
    x = 717.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.