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Finding the Fourth Proportional to 707.66, 1,062.18 and 448.17

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Solution

The fourth proportional to 707.66, 1,062.18 and 448.17 is: 672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.66 : 1,062.18 = 448.17 : x
  2. Step 2: Convert to fraction form
    707.66/1,062.18 = 448.17/x
  3. Step 3: Cross multiply
    707.66x = 1,062.18 × 448.17
  4. Step 4: Simplify right side
    707.66x = 476,033.23
  5. Step 5: Solve for x
    x = 476,033.23/707.66
  6. Step 6: Final answer
    x = 672.68

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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.