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Finding the Fourth Proportional to 617.34, 852.08 and 368.66

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Solution

The fourth proportional to 617.34, 852.08 and 368.66 is: 508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.34 : 852.08 = 368.66 : x
  2. Step 2: Convert to fraction form
    617.34/852.08 = 368.66/x
  3. Step 3: Cross multiply
    617.34x = 852.08 × 368.66
  4. Step 4: Simplify right side
    617.34x = 314,127.81
  5. Step 5: Solve for x
    x = 314,127.81/617.34
  6. Step 6: Final answer
    x = 508.84

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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.