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Finding the Fourth Proportional to 938.91, 1,407.68 and 776.25

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Solution

The fourth proportional to 938.91, 1,407.68 and 776.25 is: 1,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.91 : 1,407.68 = 776.25 : x
  2. Step 2: Convert to fraction form
    938.91/1,407.68 = 776.25/x
  3. Step 3: Cross multiply
    938.91x = 1,407.68 × 776.25
  4. Step 4: Simplify right side
    938.91x = 1,092,710.63
  5. Step 5: Solve for x
    x = 1,092,710.63/938.91
  6. Step 6: Final answer
    x = 1,163.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.