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Finding the Fourth Proportional to 999.58, 1,378.74 and 916.96

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Solution

The fourth proportional to 999.58, 1,378.74 and 916.96 is: 1,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.58 : 1,378.74 = 916.96 : x
  2. Step 2: Convert to fraction form
    999.58/1,378.74 = 916.96/x
  3. Step 3: Cross multiply
    999.58x = 1,378.74 × 916.96
  4. Step 4: Simplify right side
    999.58x = 1,264,249.43
  5. Step 5: Solve for x
    x = 1,264,249.43/999.58
  6. Step 6: Final answer
    x = 1,264.78

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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.