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Finding the Fourth Proportional to 815.71, 1,223.52 and 288.58

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Solution

The fourth proportional to 815.71, 1,223.52 and 288.58 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.71 : 1,223.52 = 288.58 : x
  2. Step 2: Convert to fraction form
    815.71/1,223.52 = 288.58/x
  3. Step 3: Cross multiply
    815.71x = 1,223.52 × 288.58
  4. Step 4: Simplify right side
    815.71x = 353,075.84
  5. Step 5: Solve for x
    x = 353,075.84/815.71
  6. Step 6: Final answer
    x = 432.85

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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.