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Finding the Fourth Proportional to 547.68, 755.78 and 314.76

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Solution

The fourth proportional to 547.68, 755.78 and 314.76 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.68 : 755.78 = 314.76 : x
  2. Step 2: Convert to fraction form
    547.68/755.78 = 314.76/x
  3. Step 3: Cross multiply
    547.68x = 755.78 × 314.76
  4. Step 4: Simplify right side
    547.68x = 237,889.31
  5. Step 5: Solve for x
    x = 237,889.31/547.68
  6. Step 6: Final answer
    x = 434.36

Related Problems

Find fourth proportional to 273.84, 377.89 and 157.38
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Double scale
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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.