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Finding the Fourth Proportional to 1,095.80, 1,642.66 and 364.87

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Solution

The fourth proportional to 1,095.80, 1,642.66 and 364.87 is: 546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.80 : 1,642.66 = 364.87 : x
  2. Step 2: Convert to fraction form
    1,095.80/1,642.66 = 364.87/x
  3. Step 3: Cross multiply
    1,095.80x = 1,642.66 × 364.87
  4. Step 4: Simplify right side
    1,095.80x = 599,353.25
  5. Step 5: Solve for x
    x = 599,353.25/1,095.80
  6. Step 6: Final answer
    x = 546.95

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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.