Home / 1,024.70-1,414.40-631.85

Finding the Fourth Proportional to 1,024.70, 1,414.40 and 631.85

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Solution

The fourth proportional to 1,024.70, 1,414.40 and 631.85 is: 872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.70 : 1,414.40 = 631.85 : x
  2. Step 2: Convert to fraction form
    1,024.70/1,414.40 = 631.85/x
  3. Step 3: Cross multiply
    1,024.70x = 1,414.40 × 631.85
  4. Step 4: Simplify right side
    1,024.70x = 893,678.41
  5. Step 5: Solve for x
    x = 893,678.41/1,024.70
  6. Step 6: Final answer
    x = 872.14

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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.