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Finding the Fourth Proportional to 942.96, 1,298.04 and 816.87

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Solution

The fourth proportional to 942.96, 1,298.04 and 816.87 is: 1,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.96 : 1,298.04 = 816.87 : x
  2. Step 2: Convert to fraction form
    942.96/1,298.04 = 816.87/x
  3. Step 3: Cross multiply
    942.96x = 1,298.04 × 816.87
  4. Step 4: Simplify right side
    942.96x = 1,060,329.93
  5. Step 5: Solve for x
    x = 1,060,329.93/942.96
  6. Step 6: Final answer
    x = 1,124.47

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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.