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Finding the Fourth Proportional to 678.03, 935.66 and 478.65

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Solution

The fourth proportional to 678.03, 935.66 and 478.65 is: 660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.03 : 935.66 = 478.65 : x
  2. Step 2: Convert to fraction form
    678.03/935.66 = 478.65/x
  3. Step 3: Cross multiply
    678.03x = 935.66 × 478.65
  4. Step 4: Simplify right side
    678.03x = 447,854.39
  5. Step 5: Solve for x
    x = 447,854.39/678.03
  6. Step 6: Final answer
    x = 660.52

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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.