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Finding the Fourth Proportional to 632.38, 873.50 and 435.54

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Solution

The fourth proportional to 632.38, 873.50 and 435.54 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.38 : 873.50 = 435.54 : x
  2. Step 2: Convert to fraction form
    632.38/873.50 = 435.54/x
  3. Step 3: Cross multiply
    632.38x = 873.50 × 435.54
  4. Step 4: Simplify right side
    632.38x = 380,444.19
  5. Step 5: Solve for x
    x = 380,444.19/632.38
  6. Step 6: Final answer
    x = 601.61

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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.