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Finding the Fourth Proportional to 634.92, 948.88 and 585.66

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Solution

The fourth proportional to 634.92, 948.88 and 585.66 is: 875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.92 : 948.88 = 585.66 : x
  2. Step 2: Convert to fraction form
    634.92/948.88 = 585.66/x
  3. Step 3: Cross multiply
    634.92x = 948.88 × 585.66
  4. Step 4: Simplify right side
    634.92x = 555,721.06
  5. Step 5: Solve for x
    x = 555,721.06/634.92
  6. Step 6: Final answer
    x = 875.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.