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Finding the Fourth Proportional to 709.47, 1,063.40 and 298.53

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Solution

The fourth proportional to 709.47, 1,063.40 and 298.53 is: 447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.47 : 1,063.40 = 298.53 : x
  2. Step 2: Convert to fraction form
    709.47/1,063.40 = 298.53/x
  3. Step 3: Cross multiply
    709.47x = 1,063.40 × 298.53
  4. Step 4: Simplify right side
    709.47x = 317,455.31
  5. Step 5: Solve for x
    x = 317,455.31/709.47
  6. Step 6: Final answer
    x = 447.45

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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.