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Finding the Fourth Proportional to 540.96, 746.76 and 385.68

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Solution

The fourth proportional to 540.96, 746.76 and 385.68 is: 532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.96 : 746.76 = 385.68 : x
  2. Step 2: Convert to fraction form
    540.96/746.76 = 385.68/x
  3. Step 3: Cross multiply
    540.96x = 746.76 × 385.68
  4. Step 4: Simplify right side
    540.96x = 288,010.40
  5. Step 5: Solve for x
    x = 288,010.40/540.96
  6. Step 6: Final answer
    x = 532.41

Related Problems

Find fourth proportional to 270.48, 373.38 and 192.84
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.