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Finding the Fourth Proportional to 649.42, 969.42 and 601.24

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Solution

The fourth proportional to 649.42, 969.42 and 601.24 is: 897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.42 : 969.42 = 601.24 : x
  2. Step 2: Convert to fraction form
    649.42/969.42 = 601.24/x
  3. Step 3: Cross multiply
    649.42x = 969.42 × 601.24
  4. Step 4: Simplify right side
    649.42x = 582,851.07
  5. Step 5: Solve for x
    x = 582,851.07/649.42
  6. Step 6: Final answer
    x = 897.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.