Home / 1,023.40-1,411.85-630.19

Finding the Fourth Proportional to 1,023.40, 1,411.85 and 630.19

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Solution

The fourth proportional to 1,023.40, 1,411.85 and 630.19 is: 869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.40 : 1,411.85 = 630.19 : x
  2. Step 2: Convert to fraction form
    1,023.40/1,411.85 = 630.19/x
  3. Step 3: Cross multiply
    1,023.40x = 1,411.85 × 630.19
  4. Step 4: Simplify right side
    1,023.40x = 889,733.75
  5. Step 5: Solve for x
    x = 889,733.75/1,023.40
  6. Step 6: Final answer
    x = 869.39

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Half scale
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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.