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Finding the Fourth Proportional to 1,594.91, 2,393.68 and 815.49

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Solution

The fourth proportional to 1,594.91, 2,393.68 and 815.49 is: 1,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.91 : 2,393.68 = 815.49 : x
  2. Step 2: Convert to fraction form
    1,594.91/2,393.68 = 815.49/x
  3. Step 3: Cross multiply
    1,594.91x = 2,393.68 × 815.49
  4. Step 4: Simplify right side
    1,594.91x = 1,952,022.10
  5. Step 5: Solve for x
    x = 1,952,022.10/1,594.91
  6. Step 6: Final answer
    x = 1,223.91

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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.