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Finding the Fourth Proportional to 786.38, 1,177.74 and 477.92

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Solution

The fourth proportional to 786.38, 1,177.74 and 477.92 is: 715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 1,177.74 = 477.92 : x
  2. Step 2: Convert to fraction form
    786.38/1,177.74 = 477.92/x
  3. Step 3: Cross multiply
    786.38x = 1,177.74 × 477.92
  4. Step 4: Simplify right side
    786.38x = 562,868.45
  5. Step 5: Solve for x
    x = 562,868.45/786.38
  6. Step 6: Final answer
    x = 715.78

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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.