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Finding the Fourth Proportional to 617.84, 926.92 and 309.68

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Solution

The fourth proportional to 617.84, 926.92 and 309.68 is: 464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.84 : 926.92 = 309.68 : x
  2. Step 2: Convert to fraction form
    617.84/926.92 = 309.68/x
  3. Step 3: Cross multiply
    617.84x = 926.92 × 309.68
  4. Step 4: Simplify right side
    617.84x = 287,048.59
  5. Step 5: Solve for x
    x = 287,048.59/617.84
  6. Step 6: Final answer
    x = 464.60

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1.5x scale

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.