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Finding the Fourth Proportional to 617.01, 929.16 and 536.82

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Solution

The fourth proportional to 617.01, 929.16 and 536.82 is: 808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.01 : 929.16 = 536.82 : x
  2. Step 2: Convert to fraction form
    617.01/929.16 = 536.82/x
  3. Step 3: Cross multiply
    617.01x = 929.16 × 536.82
  4. Step 4: Simplify right side
    617.01x = 498,791.67
  5. Step 5: Solve for x
    x = 498,791.67/617.01
  6. Step 6: Final answer
    x = 808.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.