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Finding the Fourth Proportional to 537.32, 741.12 and 426.76

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Solution

The fourth proportional to 537.32, 741.12 and 426.76 is: 588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.32 : 741.12 = 426.76 : x
  2. Step 2: Convert to fraction form
    537.32/741.12 = 426.76/x
  3. Step 3: Cross multiply
    537.32x = 741.12 × 426.76
  4. Step 4: Simplify right side
    537.32x = 316,280.37
  5. Step 5: Solve for x
    x = 316,280.37/537.32
  6. Step 6: Final answer
    x = 588.63

Related Problems

Find fourth proportional to 268.66, 370.56 and 213.38
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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.