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Finding the Fourth Proportional to 853.13, 1,177.34 and 503.82

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Solution

The fourth proportional to 853.13, 1,177.34 and 503.82 is: 695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.13 : 1,177.34 = 503.82 : x
  2. Step 2: Convert to fraction form
    853.13/1,177.34 = 503.82/x
  3. Step 3: Cross multiply
    853.13x = 1,177.34 × 503.82
  4. Step 4: Simplify right side
    853.13x = 593,164.92
  5. Step 5: Solve for x
    x = 593,164.92/853.13
  6. Step 6: Final answer
    x = 695.28

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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.