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Finding the Fourth Proportional to 617.46, 852.18 and 368.80

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Solution

The fourth proportional to 617.46, 852.18 and 368.80 is: 508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 852.18 = 368.80 : x
  2. Step 2: Convert to fraction form
    617.46/852.18 = 368.80/x
  3. Step 3: Cross multiply
    617.46x = 852.18 × 368.80
  4. Step 4: Simplify right side
    617.46x = 314,283.98
  5. Step 5: Solve for x
    x = 314,283.98/617.46
  6. Step 6: Final answer
    x = 508.99

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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.