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Finding the Fourth Proportional to 632.25, 946.70 and 494.65

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Solution

The fourth proportional to 632.25, 946.70 and 494.65 is: 740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.25 : 946.70 = 494.65 : x
  2. Step 2: Convert to fraction form
    632.25/946.70 = 494.65/x
  3. Step 3: Cross multiply
    632.25x = 946.70 × 494.65
  4. Step 4: Simplify right side
    632.25x = 468,277.95
  5. Step 5: Solve for x
    x = 468,277.95/632.25
  6. Step 6: Final answer
    x = 740.66

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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.