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Finding the Fourth Proportional to 709.64, 1,064.55 and 247.46

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Solution

The fourth proportional to 709.64, 1,064.55 and 247.46 is: 371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.64 : 1,064.55 = 247.46 : x
  2. Step 2: Convert to fraction form
    709.64/1,064.55 = 247.46/x
  3. Step 3: Cross multiply
    709.64x = 1,064.55 × 247.46
  4. Step 4: Simplify right side
    709.64x = 263,428.22
  5. Step 5: Solve for x
    x = 263,428.22/709.64
  6. Step 6: Final answer
    x = 371.21

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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.