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Finding the Fourth Proportional to 709.40, 1,064.10 and 276.86

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Solution

The fourth proportional to 709.40, 1,064.10 and 276.86 is: 415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 1,064.10 = 276.86 : x
  2. Step 2: Convert to fraction form
    709.40/1,064.10 = 276.86/x
  3. Step 3: Cross multiply
    709.40x = 1,064.10 × 276.86
  4. Step 4: Simplify right side
    709.40x = 294,606.73
  5. Step 5: Solve for x
    x = 294,606.73/709.40
  6. Step 6: Final answer
    x = 415.29

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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.