Home / 1,023.20-1,411.28-630.40

Finding the Fourth Proportional to 1,023.20, 1,411.28 and 630.40

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Solution

The fourth proportional to 1,023.20, 1,411.28 and 630.40 is: 869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.20 : 1,411.28 = 630.40 : x
  2. Step 2: Convert to fraction form
    1,023.20/1,411.28 = 630.40/x
  3. Step 3: Cross multiply
    1,023.20x = 1,411.28 × 630.40
  4. Step 4: Simplify right side
    1,023.20x = 889,670.91
  5. Step 5: Solve for x
    x = 889,670.91/1,023.20
  6. Step 6: Final answer
    x = 869.50

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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.