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Finding the Fourth Proportional to 928.57, 1,280.33 and 597.01

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Solution

The fourth proportional to 928.57, 1,280.33 and 597.01 is: 823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.57 : 1,280.33 = 597.01 : x
  2. Step 2: Convert to fraction form
    928.57/1,280.33 = 597.01/x
  3. Step 3: Cross multiply
    928.57x = 1,280.33 × 597.01
  4. Step 4: Simplify right side
    928.57x = 764,366.83
  5. Step 5: Solve for x
    x = 764,366.83/928.57
  6. Step 6: Final answer
    x = 823.17

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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.