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Finding the Fourth Proportional to 632.10, 942.69 and 578.95

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Solution

The fourth proportional to 632.10, 942.69 and 578.95 is: 863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.10 : 942.69 = 578.95 : x
  2. Step 2: Convert to fraction form
    632.10/942.69 = 578.95/x
  3. Step 3: Cross multiply
    632.10x = 942.69 × 578.95
  4. Step 4: Simplify right side
    632.10x = 545,766.93
  5. Step 5: Solve for x
    x = 545,766.93/632.10
  6. Step 6: Final answer
    x = 863.41

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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.