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Finding the Fourth Proportional to 649.24, 967.29 and 618.28

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Solution

The fourth proportional to 649.24, 967.29 and 618.28 is: 921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.24 : 967.29 = 618.28 : x
  2. Step 2: Convert to fraction form
    649.24/967.29 = 618.28/x
  3. Step 3: Cross multiply
    649.24x = 967.29 × 618.28
  4. Step 4: Simplify right side
    649.24x = 598,051.22
  5. Step 5: Solve for x
    x = 598,051.22/649.24
  6. Step 6: Final answer
    x = 921.16

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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.