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Finding the Fourth Proportional to 1,506.64, 2,079.12 and 916.96

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Solution

The fourth proportional to 1,506.64, 2,079.12 and 916.96 is: 1,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.64 : 2,079.12 = 916.96 : x
  2. Step 2: Convert to fraction form
    1,506.64/2,079.12 = 916.96/x
  3. Step 3: Cross multiply
    1,506.64x = 2,079.12 × 916.96
  4. Step 4: Simplify right side
    1,506.64x = 1,906,469.88
  5. Step 5: Solve for x
    x = 1,906,469.88/1,506.64
  6. Step 6: Final answer
    x = 1,265.38

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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.