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Finding the Fourth Proportional to 613.77, 921.02 and 289.16

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Solution

The fourth proportional to 613.77, 921.02 and 289.16 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.77 : 921.02 = 289.16 : x
  2. Step 2: Convert to fraction form
    613.77/921.02 = 289.16/x
  3. Step 3: Cross multiply
    613.77x = 921.02 × 289.16
  4. Step 4: Simplify right side
    613.77x = 266,322.14
  5. Step 5: Solve for x
    x = 266,322.14/613.77
  6. Step 6: Final answer
    x = 433.91

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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.