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Finding the Fourth Proportional to 507.42, 761.39 and 344.78

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Solution

The fourth proportional to 507.42, 761.39 and 344.78 is: 517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 761.39 = 344.78 : x
  2. Step 2: Convert to fraction form
    507.42/761.39 = 344.78/x
  3. Step 3: Cross multiply
    507.42x = 761.39 × 344.78
  4. Step 4: Simplify right side
    507.42x = 262,506.51
  5. Step 5: Solve for x
    x = 262,506.51/507.42
  6. Step 6: Final answer
    x = 517.34

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.