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Finding the Fourth Proportional to 613.86, 924.06 and 529.08

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Solution

The fourth proportional to 613.86, 924.06 and 529.08 is: 796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.86 : 924.06 = 529.08 : x
  2. Step 2: Convert to fraction form
    613.86/924.06 = 529.08/x
  3. Step 3: Cross multiply
    613.86x = 924.06 × 529.08
  4. Step 4: Simplify right side
    613.86x = 488,901.66
  5. Step 5: Solve for x
    x = 488,901.66/613.86
  6. Step 6: Final answer
    x = 796.44

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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.