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Finding the Fourth Proportional to 870.95, 1,306.49 and 254.66

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Solution

The fourth proportional to 870.95, 1,306.49 and 254.66 is: 382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.95 : 1,306.49 = 254.66 : x
  2. Step 2: Convert to fraction form
    870.95/1,306.49 = 254.66/x
  3. Step 3: Cross multiply
    870.95x = 1,306.49 × 254.66
  4. Step 4: Simplify right side
    870.95x = 332,710.74
  5. Step 5: Solve for x
    x = 332,710.74/870.95
  6. Step 6: Final answer
    x = 382.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.