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Finding the Fourth Proportional to 465.78, 698.85 and 345.06

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Solution

The fourth proportional to 465.78, 698.85 and 345.06 is: 517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.78 : 698.85 = 345.06 : x
  2. Step 2: Convert to fraction form
    465.78/698.85 = 345.06/x
  3. Step 3: Cross multiply
    465.78x = 698.85 × 345.06
  4. Step 4: Simplify right side
    465.78x = 241,145.18
  5. Step 5: Solve for x
    x = 241,145.18/465.78
  6. Step 6: Final answer
    x = 517.72

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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.