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Finding the Fourth Proportional to 1,205.31, 1,663.49 and 707.77

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Solution

The fourth proportional to 1,205.31, 1,663.49 and 707.77 is: 976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.31 : 1,663.49 = 707.77 : x
  2. Step 2: Convert to fraction form
    1,205.31/1,663.49 = 707.77/x
  3. Step 3: Cross multiply
    1,205.31x = 1,663.49 × 707.77
  4. Step 4: Simplify right side
    1,205.31x = 1,177,356.46
  5. Step 5: Solve for x
    x = 1,177,356.46/1,205.31
  6. Step 6: Final answer
    x = 976.81

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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.