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Finding the Fourth Proportional to 678.65, 935.76 and 553.93

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Solution

The fourth proportional to 678.65, 935.76 and 553.93 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.65 : 935.76 = 553.93 : x
  2. Step 2: Convert to fraction form
    678.65/935.76 = 553.93/x
  3. Step 3: Cross multiply
    678.65x = 935.76 × 553.93
  4. Step 4: Simplify right side
    678.65x = 518,340.86
  5. Step 5: Solve for x
    x = 518,340.86/678.65
  6. Step 6: Final answer
    x = 763.78

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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.