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Finding the Fourth Proportional to 407.87, 608.87 and 346.34

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Solution

The fourth proportional to 407.87, 608.87 and 346.34 is: 517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.87 : 608.87 = 346.34 : x
  2. Step 2: Convert to fraction form
    407.87/608.87 = 346.34/x
  3. Step 3: Cross multiply
    407.87x = 608.87 × 346.34
  4. Step 4: Simplify right side
    407.87x = 210,876.48
  5. Step 5: Solve for x
    x = 210,876.48/407.87
  6. Step 6: Final answer
    x = 517.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.