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Finding the Fourth Proportional to 691.45, 954.12 and 411.70

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Solution

The fourth proportional to 691.45, 954.12 and 411.70 is: 568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.45 : 954.12 = 411.70 : x
  2. Step 2: Convert to fraction form
    691.45/954.12 = 411.70/x
  3. Step 3: Cross multiply
    691.45x = 954.12 × 411.70
  4. Step 4: Simplify right side
    691.45x = 392,811.20
  5. Step 5: Solve for x
    x = 392,811.20/691.45
  6. Step 6: Final answer
    x = 568.10

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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.