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Finding the Fourth Proportional to 649, 972.19 and 417.34

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Solution

The fourth proportional to 649, 972.19 and 417.34 is: 625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    649 : 972.19 = 417.34 : x
  2. Step 2: Convert to fraction form
    649/972.19 = 417.34/x
  3. Step 3: Cross multiply
    649x = 972.19 × 417.34
  4. Step 4: Simplify right side
    649x = 405,733.77
  5. Step 5: Solve for x
    x = 405,733.77/649
  6. Step 6: Final answer
    x = 625.17

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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.