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Finding the Fourth Proportional to 758.03, 1,046.16 and 633.47

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Solution

The fourth proportional to 758.03, 1,046.16 and 633.47 is: 874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.03 : 1,046.16 = 633.47 : x
  2. Step 2: Convert to fraction form
    758.03/1,046.16 = 633.47/x
  3. Step 3: Cross multiply
    758.03x = 1,046.16 × 633.47
  4. Step 4: Simplify right side
    758.03x = 662,705.74
  5. Step 5: Solve for x
    x = 662,705.74/758.03
  6. Step 6: Final answer
    x = 874.25

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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.