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Finding the Fourth Proportional to 412.40, 617.88 and 339.68

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Solution

The fourth proportional to 412.40, 617.88 and 339.68 is: 508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.40 : 617.88 = 339.68 : x
  2. Step 2: Convert to fraction form
    412.40/617.88 = 339.68/x
  3. Step 3: Cross multiply
    412.40x = 617.88 × 339.68
  4. Step 4: Simplify right side
    412.40x = 209,881.48
  5. Step 5: Solve for x
    x = 209,881.48/412.40
  6. Step 6: Final answer
    x = 508.93

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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.