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Finding the Fourth Proportional to 678.96, 936.62 and 469.35

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Solution

The fourth proportional to 678.96, 936.62 and 469.35 is: 647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.96 : 936.62 = 469.35 : x
  2. Step 2: Convert to fraction form
    678.96/936.62 = 469.35/x
  3. Step 3: Cross multiply
    678.96x = 936.62 × 469.35
  4. Step 4: Simplify right side
    678.96x = 439,600.25
  5. Step 5: Solve for x
    x = 439,600.25/678.96
  6. Step 6: Final answer
    x = 647.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.