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Finding the Fourth Proportional to 541.92, 747.84 and 320.76

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Solution

The fourth proportional to 541.92, 747.84 and 320.76 is: 442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.92 : 747.84 = 320.76 : x
  2. Step 2: Convert to fraction form
    541.92/747.84 = 320.76/x
  3. Step 3: Cross multiply
    541.92x = 747.84 × 320.76
  4. Step 4: Simplify right side
    541.92x = 239,877.16
  5. Step 5: Solve for x
    x = 239,877.16/541.92
  6. Step 6: Final answer
    x = 442.64

Related Problems

Find fourth proportional to 270.96, 373.92 and 160.38
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.