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Finding the Fourth Proportional to 1,516.08, 2,274.10 and 476.30

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Solution

The fourth proportional to 1,516.08, 2,274.10 and 476.30 is: 714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.08 : 2,274.10 = 476.30 : x
  2. Step 2: Convert to fraction form
    1,516.08/2,274.10 = 476.30/x
  3. Step 3: Cross multiply
    1,516.08x = 2,274.10 × 476.30
  4. Step 4: Simplify right side
    1,516.08x = 1,083,153.83
  5. Step 5: Solve for x
    x = 1,083,153.83/1,516.08
  6. Step 6: Final answer
    x = 714.44

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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.