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Finding the Fourth Proportional to 691.75, 954.71 and 429.85

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Solution

The fourth proportional to 691.75, 954.71 and 429.85 is: 593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.75 : 954.71 = 429.85 : x
  2. Step 2: Convert to fraction form
    691.75/954.71 = 429.85/x
  3. Step 3: Cross multiply
    691.75x = 954.71 × 429.85
  4. Step 4: Simplify right side
    691.75x = 410,382.09
  5. Step 5: Solve for x
    x = 410,382.09/691.75
  6. Step 6: Final answer
    x = 593.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.