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Finding the Fourth Proportional to 758.09, 1,046.18 and 463.31

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Solution

The fourth proportional to 758.09, 1,046.18 and 463.31 is: 639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.09 : 1,046.18 = 463.31 : x
  2. Step 2: Convert to fraction form
    758.09/1,046.18 = 463.31/x
  3. Step 3: Cross multiply
    758.09x = 1,046.18 × 463.31
  4. Step 4: Simplify right side
    758.09x = 484,705.66
  5. Step 5: Solve for x
    x = 484,705.66/758.09
  6. Step 6: Final answer
    x = 639.38

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1.5x scale

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.