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Finding the Fourth Proportional to 1,205.23, 1,663.15 and 707.95

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Solution

The fourth proportional to 1,205.23, 1,663.15 and 707.95 is: 976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.23 : 1,663.15 = 707.95 : x
  2. Step 2: Convert to fraction form
    1,205.23/1,663.15 = 707.95/x
  3. Step 3: Cross multiply
    1,205.23x = 1,663.15 × 707.95
  4. Step 4: Simplify right side
    1,205.23x = 1,177,427.04
  5. Step 5: Solve for x
    x = 1,177,427.04/1,205.23
  6. Step 6: Final answer
    x = 976.93

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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.