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Finding the Fourth Proportional to 858.24, 1,282.32 and 817.92

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Solution

The fourth proportional to 858.24, 1,282.32 and 817.92 is: 1,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.24 : 1,282.32 = 817.92 : x
  2. Step 2: Convert to fraction form
    858.24/1,282.32 = 817.92/x
  3. Step 3: Cross multiply
    858.24x = 1,282.32 × 817.92
  4. Step 4: Simplify right side
    858.24x = 1,048,835.17
  5. Step 5: Solve for x
    x = 1,048,835.17/858.24
  6. Step 6: Final answer
    x = 1,222.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.