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Finding the Fourth Proportional to 1,293.14, 1,781.52 and 899.48

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Solution

The fourth proportional to 1,293.14, 1,781.52 and 899.48 is: 1,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.14 : 1,781.52 = 899.48 : x
  2. Step 2: Convert to fraction form
    1,293.14/1,781.52 = 899.48/x
  3. Step 3: Cross multiply
    1,293.14x = 1,781.52 × 899.48
  4. Step 4: Simplify right side
    1,293.14x = 1,602,441.61
  5. Step 5: Solve for x
    x = 1,602,441.61/1,293.14
  6. Step 6: Final answer
    x = 1,239.19

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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.