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Finding the Fourth Proportional to 856.25, 1,180.45 and 541.36

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Solution

The fourth proportional to 856.25, 1,180.45 and 541.36 is: 746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.25 : 1,180.45 = 541.36 : x
  2. Step 2: Convert to fraction form
    856.25/1,180.45 = 541.36/x
  3. Step 3: Cross multiply
    856.25x = 1,180.45 × 541.36
  4. Step 4: Simplify right side
    856.25x = 639,047.43
  5. Step 5: Solve for x
    x = 639,047.43/856.25
  6. Step 6: Final answer
    x = 746.33

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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.