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Finding the Fourth Proportional to 632.70, 873.66 and 446.58

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Solution

The fourth proportional to 632.70, 873.66 and 446.58 is: 616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.70 : 873.66 = 446.58 : x
  2. Step 2: Convert to fraction form
    632.70/873.66 = 446.58/x
  3. Step 3: Cross multiply
    632.70x = 873.66 × 446.58
  4. Step 4: Simplify right side
    632.70x = 390,159.08
  5. Step 5: Solve for x
    x = 390,159.08/632.70
  6. Step 6: Final answer
    x = 616.66

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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.