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Finding the Fourth Proportional to 548.76, 757.68 and 401.60

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Solution

The fourth proportional to 548.76, 757.68 and 401.60 is: 554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.76 : 757.68 = 401.60 : x
  2. Step 2: Convert to fraction form
    548.76/757.68 = 401.60/x
  3. Step 3: Cross multiply
    548.76x = 757.68 × 401.60
  4. Step 4: Simplify right side
    548.76x = 304,284.29
  5. Step 5: Solve for x
    x = 304,284.29/548.76
  6. Step 6: Final answer
    x = 554.49

Related Problems

Find fourth proportional to 274.38, 378.84 and 200.80
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.