Home / 1,150.24-1,587.60-820.48

Finding the Fourth Proportional to 1,150.24, 1,587.60 and 820.48

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Solution

The fourth proportional to 1,150.24, 1,587.60 and 820.48 is: 1,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.24 : 1,587.60 = 820.48 : x
  2. Step 2: Convert to fraction form
    1,150.24/1,587.60 = 820.48/x
  3. Step 3: Cross multiply
    1,150.24x = 1,587.60 × 820.48
  4. Step 4: Simplify right side
    1,150.24x = 1,302,594.05
  5. Step 5: Solve for x
    x = 1,302,594.05/1,150.24
  6. Step 6: Final answer
    x = 1,132.45

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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.