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Finding the Fourth Proportional to 709.28, 1,064.52 and 276.74

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Solution

The fourth proportional to 709.28, 1,064.52 and 276.74 is: 415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.28 : 1,064.52 = 276.74 : x
  2. Step 2: Convert to fraction form
    709.28/1,064.52 = 276.74/x
  3. Step 3: Cross multiply
    709.28x = 1,064.52 × 276.74
  4. Step 4: Simplify right side
    709.28x = 294,595.26
  5. Step 5: Solve for x
    x = 294,595.26/709.28
  6. Step 6: Final answer
    x = 415.34

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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.