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Finding the Fourth Proportional to 691.09, 954.13 and 455.46

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Solution

The fourth proportional to 691.09, 954.13 and 455.46 is: 628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.09 : 954.13 = 455.46 : x
  2. Step 2: Convert to fraction form
    691.09/954.13 = 455.46/x
  3. Step 3: Cross multiply
    691.09x = 954.13 × 455.46
  4. Step 4: Simplify right side
    691.09x = 434,568.05
  5. Step 5: Solve for x
    x = 434,568.05/691.09
  6. Step 6: Final answer
    x = 628.82

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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.