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Finding the Fourth Proportional to 853.06, 1,175.97 and 603.61

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Solution

The fourth proportional to 853.06, 1,175.97 and 603.61 is: 832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.06 : 1,175.97 = 603.61 : x
  2. Step 2: Convert to fraction form
    853.06/1,175.97 = 603.61/x
  3. Step 3: Cross multiply
    853.06x = 1,175.97 × 603.61
  4. Step 4: Simplify right side
    853.06x = 709,827.25
  5. Step 5: Solve for x
    x = 709,827.25/853.06
  6. Step 6: Final answer
    x = 832.10

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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.