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Finding the Fourth Proportional to 540.76, 746.28 and 409.54

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Solution

The fourth proportional to 540.76, 746.28 and 409.54 is: 565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.76 : 746.28 = 409.54 : x
  2. Step 2: Convert to fraction form
    540.76/746.28 = 409.54/x
  3. Step 3: Cross multiply
    540.76x = 746.28 × 409.54
  4. Step 4: Simplify right side
    540.76x = 305,625.73
  5. Step 5: Solve for x
    x = 305,625.73/540.76
  6. Step 6: Final answer
    x = 565.18

Related Problems

Find fourth proportional to 270.38, 373.14 and 204.77
Half scale
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Double scale
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Similar ratio
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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.