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Finding the Fourth Proportional to 507.60, 760.77 and 345.42

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Solution

The fourth proportional to 507.60, 760.77 and 345.42 is: 517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 760.77 = 345.42 : x
  2. Step 2: Convert to fraction form
    507.60/760.77 = 345.42/x
  3. Step 3: Cross multiply
    507.60x = 760.77 × 345.42
  4. Step 4: Simplify right side
    507.60x = 262,785.17
  5. Step 5: Solve for x
    x = 262,785.17/507.60
  6. Step 6: Final answer
    x = 517.70

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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.