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Finding the Fourth Proportional to 979.46, 1,352.02 and 666.34

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Solution

The fourth proportional to 979.46, 1,352.02 and 666.34 is: 919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.46 : 1,352.02 = 666.34 : x
  2. Step 2: Convert to fraction form
    979.46/1,352.02 = 666.34/x
  3. Step 3: Cross multiply
    979.46x = 1,352.02 × 666.34
  4. Step 4: Simplify right side
    979.46x = 900,905.01
  5. Step 5: Solve for x
    x = 900,905.01/979.46
  6. Step 6: Final answer
    x = 919.80

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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.