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Finding the Fourth Proportional to 1,095.39, 1,640.39 and 575.82

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Solution

The fourth proportional to 1,095.39, 1,640.39 and 575.82 is: 862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.39 : 1,640.39 = 575.82 : x
  2. Step 2: Convert to fraction form
    1,095.39/1,640.39 = 575.82/x
  3. Step 3: Cross multiply
    1,095.39x = 1,640.39 × 575.82
  4. Step 4: Simplify right side
    1,095.39x = 944,566.49
  5. Step 5: Solve for x
    x = 944,566.49/1,095.39
  6. Step 6: Final answer
    x = 862.31

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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.