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Finding the Fourth Proportional to 928.69, 1,281.18 and 596.99

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Solution

The fourth proportional to 928.69, 1,281.18 and 596.99 is: 823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.69 : 1,281.18 = 596.99 : x
  2. Step 2: Convert to fraction form
    928.69/1,281.18 = 596.99/x
  3. Step 3: Cross multiply
    928.69x = 1,281.18 × 596.99
  4. Step 4: Simplify right side
    928.69x = 764,851.65
  5. Step 5: Solve for x
    x = 764,851.65/928.69
  6. Step 6: Final answer
    x = 823.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.