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Finding the Fourth Proportional to 928.99, 1,282.02 and 556.24

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Solution

The fourth proportional to 928.99, 1,282.02 and 556.24 is: 767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.99 : 1,282.02 = 556.24 : x
  2. Step 2: Convert to fraction form
    928.99/1,282.02 = 556.24/x
  3. Step 3: Cross multiply
    928.99x = 1,282.02 × 556.24
  4. Step 4: Simplify right side
    928.99x = 713,110.80
  5. Step 5: Solve for x
    x = 713,110.80/928.99
  6. Step 6: Final answer
    x = 767.62

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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.