Home / 1,023.14-1,411.85-630.17

Finding the Fourth Proportional to 1,023.14, 1,411.85 and 630.17

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Solution

The fourth proportional to 1,023.14, 1,411.85 and 630.17 is: 869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.14 : 1,411.85 = 630.17 : x
  2. Step 2: Convert to fraction form
    1,023.14/1,411.85 = 630.17/x
  3. Step 3: Cross multiply
    1,023.14x = 1,411.85 × 630.17
  4. Step 4: Simplify right side
    1,023.14x = 889,700.03
  5. Step 5: Solve for x
    x = 889,700.03/1,023.14
  6. Step 6: Final answer
    x = 869.58

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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.