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Finding the Fourth Proportional to 979.94, 1,470.08 and 597.54

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Solution

The fourth proportional to 979.94, 1,470.08 and 597.54 is: 896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.94 : 1,470.08 = 597.54 : x
  2. Step 2: Convert to fraction form
    979.94/1,470.08 = 597.54/x
  3. Step 3: Cross multiply
    979.94x = 1,470.08 × 597.54
  4. Step 4: Simplify right side
    979.94x = 878,431.60
  5. Step 5: Solve for x
    x = 878,431.60/979.94
  6. Step 6: Final answer
    x = 896.41

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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.