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Finding the Fourth Proportional to 617.49, 924.94 and 386.49

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Solution

The fourth proportional to 617.49, 924.94 and 386.49 is: 578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.49 : 924.94 = 386.49 : x
  2. Step 2: Convert to fraction form
    617.49/924.94 = 386.49/x
  3. Step 3: Cross multiply
    617.49x = 924.94 × 386.49
  4. Step 4: Simplify right side
    617.49x = 357,480.06
  5. Step 5: Solve for x
    x = 357,480.06/617.49
  6. Step 6: Final answer
    x = 578.92

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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.