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Finding the Fourth Proportional to 815.74, 1,223.43 and 260.35

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Solution

The fourth proportional to 815.74, 1,223.43 and 260.35 is: 390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.74 : 1,223.43 = 260.35 : x
  2. Step 2: Convert to fraction form
    815.74/1,223.43 = 260.35/x
  3. Step 3: Cross multiply
    815.74x = 1,223.43 × 260.35
  4. Step 4: Simplify right side
    815.74x = 318,520.00
  5. Step 5: Solve for x
    x = 318,520.00/815.74
  6. Step 6: Final answer
    x = 390.47

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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.