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Finding the Fourth Proportional to 541.86, 747.56 and 320.76

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Solution

The fourth proportional to 541.86, 747.56 and 320.76 is: 442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.86 : 747.56 = 320.76 : x
  2. Step 2: Convert to fraction form
    541.86/747.56 = 320.76/x
  3. Step 3: Cross multiply
    541.86x = 747.56 × 320.76
  4. Step 4: Simplify right side
    541.86x = 239,787.35
  5. Step 5: Solve for x
    x = 239,787.35/541.86
  6. Step 6: Final answer
    x = 442.53

Related Problems

Find fourth proportional to 270.93, 373.78 and 160.38
Half scale
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Double scale
Find fourth proportional to 542.86, 748.94 and 321.76
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.