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Finding the Fourth Proportional to 825.32, 1,140.54 and 677.66

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Solution

The fourth proportional to 825.32, 1,140.54 and 677.66 is: 936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.32 : 1,140.54 = 677.66 : x
  2. Step 2: Convert to fraction form
    825.32/1,140.54 = 677.66/x
  3. Step 3: Cross multiply
    825.32x = 1,140.54 × 677.66
  4. Step 4: Simplify right side
    825.32x = 772,898.34
  5. Step 5: Solve for x
    x = 772,898.34/825.32
  6. Step 6: Final answer
    x = 936.48

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Double 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.