Home / 1,024.90-1,414.65-631.78

Finding the Fourth Proportional to 1,024.90, 1,414.65 and 631.78

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Solution

The fourth proportional to 1,024.90, 1,414.65 and 631.78 is: 872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.90 : 1,414.65 = 631.78 : x
  2. Step 2: Convert to fraction form
    1,024.90/1,414.65 = 631.78/x
  3. Step 3: Cross multiply
    1,024.90x = 1,414.65 × 631.78
  4. Step 4: Simplify right side
    1,024.90x = 893,747.58
  5. Step 5: Solve for x
    x = 893,747.58/1,024.90
  6. Step 6: Final answer
    x = 872.03

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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.