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Finding the Fourth Proportional to 507.97, 760.96 and 345.25

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Solution

The fourth proportional to 507.97, 760.96 and 345.25 is: 517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.97 : 760.96 = 345.25 : x
  2. Step 2: Convert to fraction form
    507.97/760.96 = 345.25/x
  3. Step 3: Cross multiply
    507.97x = 760.96 × 345.25
  4. Step 4: Simplify right side
    507.97x = 262,721.44
  5. Step 5: Solve for x
    x = 262,721.44/507.97
  6. Step 6: Final answer
    x = 517.20

Related Problems

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Half scale
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Double scale
Find fourth proportional to 508.97, 762.46 and 346.25
Similar ratio
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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.