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Finding the Fourth Proportional to 946.95, 1,306.74 and 521.55

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Solution

The fourth proportional to 946.95, 1,306.74 and 521.55 is: 719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.95 : 1,306.74 = 521.55 : x
  2. Step 2: Convert to fraction form
    946.95/1,306.74 = 521.55/x
  3. Step 3: Cross multiply
    946.95x = 1,306.74 × 521.55
  4. Step 4: Simplify right side
    946.95x = 681,530.25
  5. Step 5: Solve for x
    x = 681,530.25/946.95
  6. Step 6: Final answer
    x = 719.71

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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.