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Finding the Fourth Proportional to 617.98, 927.02 and 309.52

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Solution

The fourth proportional to 617.98, 927.02 and 309.52 is: 464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.98 : 927.02 = 309.52 : x
  2. Step 2: Convert to fraction form
    617.98/927.02 = 309.52/x
  3. Step 3: Cross multiply
    617.98x = 927.02 × 309.52
  4. Step 4: Simplify right side
    617.98x = 286,931.23
  5. Step 5: Solve for x
    x = 286,931.23/617.98
  6. Step 6: Final answer
    x = 464.31

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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.