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Finding the Fourth Proportional to 1,149, 1,585.50 and 651.48

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Solution

The fourth proportional to 1,149, 1,585.50 and 651.48 is: 898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149 : 1,585.50 = 651.48 : x
  2. Step 2: Convert to fraction form
    1,149/1,585.50 = 651.48/x
  3. Step 3: Cross multiply
    1,149x = 1,585.50 × 651.48
  4. Step 4: Simplify right side
    1,149x = 1,032,921.54
  5. Step 5: Solve for x
    x = 1,032,921.54/1,149
  6. Step 6: Final answer
    x = 898.97

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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.