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Finding the Fourth Proportional to 964.30, 1,446.10 and 347.86

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Solution

The fourth proportional to 964.30, 1,446.10 and 347.86 is: 521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.30 : 1,446.10 = 347.86 : x
  2. Step 2: Convert to fraction form
    964.30/1,446.10 = 347.86/x
  3. Step 3: Cross multiply
    964.30x = 1,446.10 × 347.86
  4. Step 4: Simplify right side
    964.30x = 503,040.35
  5. Step 5: Solve for x
    x = 503,040.35/964.30
  6. Step 6: Final answer
    x = 521.66

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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.