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Finding the Fourth Proportional to 1,663.48, 2,295.62 and 955.43

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Solution

The fourth proportional to 1,663.48, 2,295.62 and 955.43 is: 1,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.48 : 2,295.62 = 955.43 : x
  2. Step 2: Convert to fraction form
    1,663.48/2,295.62 = 955.43/x
  3. Step 3: Cross multiply
    1,663.48x = 2,295.62 × 955.43
  4. Step 4: Simplify right side
    1,663.48x = 2,193,312.34
  5. Step 5: Solve for x
    x = 2,193,312.34/1,663.48
  6. Step 6: Final answer
    x = 1,318.51

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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.