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Finding the Fourth Proportional to 963.80, 1,446.06 and 347.48

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Solution

The fourth proportional to 963.80, 1,446.06 and 347.48 is: 521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.80 : 1,446.06 = 347.48 : x
  2. Step 2: Convert to fraction form
    963.80/1,446.06 = 347.48/x
  3. Step 3: Cross multiply
    963.80x = 1,446.06 × 347.48
  4. Step 4: Simplify right side
    963.80x = 502,476.93
  5. Step 5: Solve for x
    x = 502,476.93/963.80
  6. Step 6: Final answer
    x = 521.35

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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.