Home / 1,023.28-1,411.54-630.22

Finding the Fourth Proportional to 1,023.28, 1,411.54 and 630.22

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Solution

The fourth proportional to 1,023.28, 1,411.54 and 630.22 is: 869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.28 : 1,411.54 = 630.22 : x
  2. Step 2: Convert to fraction form
    1,023.28/1,411.54 = 630.22/x
  3. Step 3: Cross multiply
    1,023.28x = 1,411.54 × 630.22
  4. Step 4: Simplify right side
    1,023.28x = 889,580.74
  5. Step 5: Solve for x
    x = 889,580.74/1,023.28
  6. Step 6: Final answer
    x = 869.34

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1.5x scale

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.