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Finding the Fourth Proportional to 535.71, 739.35 and 314.76

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Solution

The fourth proportional to 535.71, 739.35 and 314.76 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.71 : 739.35 = 314.76 : x
  2. Step 2: Convert to fraction form
    535.71/739.35 = 314.76/x
  3. Step 3: Cross multiply
    535.71x = 739.35 × 314.76
  4. Step 4: Simplify right side
    535.71x = 232,717.81
  5. Step 5: Solve for x
    x = 232,717.81/535.71
  6. Step 6: Final answer
    x = 434.41

Related Problems

Find fourth proportional to 267.86, 369.68 and 157.38
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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.