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Finding the Fourth Proportional to 858.70, 1,288.41 and 396.19

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Solution

The fourth proportional to 858.70, 1,288.41 and 396.19 is: 594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.70 : 1,288.41 = 396.19 : x
  2. Step 2: Convert to fraction form
    858.70/1,288.41 = 396.19/x
  3. Step 3: Cross multiply
    858.70x = 1,288.41 × 396.19
  4. Step 4: Simplify right side
    858.70x = 510,455.28
  5. Step 5: Solve for x
    x = 510,455.28/858.70
  6. Step 6: Final answer
    x = 594.45

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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.