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Finding the Fourth Proportional to 938.48, 1,295.16 and 782.96

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Solution

The fourth proportional to 938.48, 1,295.16 and 782.96 is: 1,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.48 : 1,295.16 = 782.96 : x
  2. Step 2: Convert to fraction form
    938.48/1,295.16 = 782.96/x
  3. Step 3: Cross multiply
    938.48x = 1,295.16 × 782.96
  4. Step 4: Simplify right side
    938.48x = 1,014,058.47
  5. Step 5: Solve for x
    x = 1,014,058.47/938.48
  6. Step 6: Final answer
    x = 1,080.53

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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.