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Finding the Fourth Proportional to 646.37, 970.34 and 614.09

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Solution

The fourth proportional to 646.37, 970.34 and 614.09 is: 921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.37 : 970.34 = 614.09 : x
  2. Step 2: Convert to fraction form
    646.37/970.34 = 614.09/x
  3. Step 3: Cross multiply
    646.37x = 970.34 × 614.09
  4. Step 4: Simplify right side
    646.37x = 595,868.17
  5. Step 5: Solve for x
    x = 595,868.17/646.37
  6. Step 6: Final answer
    x = 921.88

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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.