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Finding the Fourth Proportional to 541.69, 747.54 and 320.56

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Solution

The fourth proportional to 541.69, 747.54 and 320.56 is: 442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.69 : 747.54 = 320.56 : x
  2. Step 2: Convert to fraction form
    541.69/747.54 = 320.56/x
  3. Step 3: Cross multiply
    541.69x = 747.54 × 320.56
  4. Step 4: Simplify right side
    541.69x = 239,629.55
  5. Step 5: Solve for x
    x = 239,629.55/541.69
  6. Step 6: Final answer
    x = 442.38

Related Problems

Find fourth proportional to 270.84, 373.77 and 160.28
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.