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Finding the Fourth Proportional to 835.20, 1,251.60 and 578.40

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Solution

The fourth proportional to 835.20, 1,251.60 and 578.40 is: 866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.20 : 1,251.60 = 578.40 : x
  2. Step 2: Convert to fraction form
    835.20/1,251.60 = 578.40/x
  3. Step 3: Cross multiply
    835.20x = 1,251.60 × 578.40
  4. Step 4: Simplify right side
    835.20x = 723,925.44
  5. Step 5: Solve for x
    x = 723,925.44/835.20
  6. Step 6: Final answer
    x = 866.77

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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.