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Finding the Fourth Proportional to 710.32, 979.92 and 448

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Solution

The fourth proportional to 710.32, 979.92 and 448 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.32 : 979.92 = 448 : x
  2. Step 2: Convert to fraction form
    710.32/979.92 = 448/x
  3. Step 3: Cross multiply
    710.32x = 979.92 × 448
  4. Step 4: Simplify right side
    710.32x = 439,004.16
  5. Step 5: Solve for x
    x = 439,004.16/710.32
  6. Step 6: Final answer
    x = 618.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.