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Finding the Fourth Proportional to 1,091.34, 1,635.63 and 474.66

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Solution

The fourth proportional to 1,091.34, 1,635.63 and 474.66 is: 711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.34 : 1,635.63 = 474.66 : x
  2. Step 2: Convert to fraction form
    1,091.34/1,635.63 = 474.66/x
  3. Step 3: Cross multiply
    1,091.34x = 1,635.63 × 474.66
  4. Step 4: Simplify right side
    1,091.34x = 776,368.14
  5. Step 5: Solve for x
    x = 776,368.14/1,091.34
  6. Step 6: Final answer
    x = 711.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.