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Finding the Fourth Proportional to 541.81, 747.57 and 320.75

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Solution

The fourth proportional to 541.81, 747.57 and 320.75 is: 442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.81 : 747.57 = 320.75 : x
  2. Step 2: Convert to fraction form
    541.81/747.57 = 320.75/x
  3. Step 3: Cross multiply
    541.81x = 747.57 × 320.75
  4. Step 4: Simplify right side
    541.81x = 239,781.47
  5. Step 5: Solve for x
    x = 239,781.47/541.81
  6. Step 6: Final answer
    x = 442.56

Related Problems

Find fourth proportional to 270.91, 373.78 and 160.38
Half scale
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Double scale
Find fourth proportional to 542.81, 748.94 and 321.75
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.