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Finding the Fourth Proportional to 859.83, 1,282.40 and 730.68

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Solution

The fourth proportional to 859.83, 1,282.40 and 730.68 is: 1,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.83 : 1,282.40 = 730.68 : x
  2. Step 2: Convert to fraction form
    859.83/1,282.40 = 730.68/x
  3. Step 3: Cross multiply
    859.83x = 1,282.40 × 730.68
  4. Step 4: Simplify right side
    859.83x = 937,020.38
  5. Step 5: Solve for x
    x = 937,020.38/859.83
  6. Step 6: Final answer
    x = 1,089.77

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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.