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Finding the Fourth Proportional to 617.68, 852.10 and 368.85

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Solution

The fourth proportional to 617.68, 852.10 and 368.85 is: 508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.68 : 852.10 = 368.85 : x
  2. Step 2: Convert to fraction form
    617.68/852.10 = 368.85/x
  3. Step 3: Cross multiply
    617.68x = 852.10 × 368.85
  4. Step 4: Simplify right side
    617.68x = 314,301.43
  5. Step 5: Solve for x
    x = 314,301.43/617.68
  6. Step 6: Final answer
    x = 508.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.