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Finding the Fourth Proportional to 634.95, 876.24 and 448.76

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Solution

The fourth proportional to 634.95, 876.24 and 448.76 is: 619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.95 : 876.24 = 448.76 : x
  2. Step 2: Convert to fraction form
    634.95/876.24 = 448.76/x
  3. Step 3: Cross multiply
    634.95x = 876.24 × 448.76
  4. Step 4: Simplify right side
    634.95x = 393,223.65
  5. Step 5: Solve for x
    x = 393,223.65/634.95
  6. Step 6: Final answer
    x = 619.30

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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.