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Finding the Fourth Proportional to 691.54, 954.25 and 580.84

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Solution

The fourth proportional to 691.54, 954.25 and 580.84 is: 801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.54 : 954.25 = 580.84 : x
  2. Step 2: Convert to fraction form
    691.54/954.25 = 580.84/x
  3. Step 3: Cross multiply
    691.54x = 954.25 × 580.84
  4. Step 4: Simplify right side
    691.54x = 554,262.73
  5. Step 5: Solve for x
    x = 554,262.73/691.54
  6. Step 6: Final answer
    x = 801.49

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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.