Home / 1,032.40-1,540.26-974.80

Finding the Fourth Proportional to 1,032.40, 1,540.26 and 974.80

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Solution

The fourth proportional to 1,032.40, 1,540.26 and 974.80 is: 1,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.40 : 1,540.26 = 974.80 : x
  2. Step 2: Convert to fraction form
    1,032.40/1,540.26 = 974.80/x
  3. Step 3: Cross multiply
    1,032.40x = 1,540.26 × 974.80
  4. Step 4: Simplify right side
    1,032.40x = 1,501,445.45
  5. Step 5: Solve for x
    x = 1,501,445.45/1,032.40
  6. Step 6: Final answer
    x = 1,454.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.