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Finding the Fourth Proportional to 999.34, 1,378.40 and 916.72

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Solution

The fourth proportional to 999.34, 1,378.40 and 916.72 is: 1,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.34 : 1,378.40 = 916.72 : x
  2. Step 2: Convert to fraction form
    999.34/1,378.40 = 916.72/x
  3. Step 3: Cross multiply
    999.34x = 1,378.40 × 916.72
  4. Step 4: Simplify right side
    999.34x = 1,263,606.85
  5. Step 5: Solve for x
    x = 1,263,606.85/999.34
  6. Step 6: Final answer
    x = 1,264.44

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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.