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Finding the Fourth Proportional to 785.40, 1,178.45 and 400.92

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Solution

The fourth proportional to 785.40, 1,178.45 and 400.92 is: 601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.40 : 1,178.45 = 400.92 : x
  2. Step 2: Convert to fraction form
    785.40/1,178.45 = 400.92/x
  3. Step 3: Cross multiply
    785.40x = 1,178.45 × 400.92
  4. Step 4: Simplify right side
    785.40x = 472,464.17
  5. Step 5: Solve for x
    x = 472,464.17/785.40
  6. Step 6: Final answer
    x = 601.56

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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.