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Finding the Fourth Proportional to 535.70, 738.77 and 411.36

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Solution

The fourth proportional to 535.70, 738.77 and 411.36 is: 567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.70 : 738.77 = 411.36 : x
  2. Step 2: Convert to fraction form
    535.70/738.77 = 411.36/x
  3. Step 3: Cross multiply
    535.70x = 738.77 × 411.36
  4. Step 4: Simplify right side
    535.70x = 303,898.37
  5. Step 5: Solve for x
    x = 303,898.37/535.70
  6. Step 6: Final answer
    x = 567.30

Related Problems

Find fourth proportional to 267.85, 369.38 and 205.68
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.