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Finding the Fourth Proportional to 1,473.78, 2,032.77 and 913.65

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Solution

The fourth proportional to 1,473.78, 2,032.77 and 913.65 is: 1,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.78 : 2,032.77 = 913.65 : x
  2. Step 2: Convert to fraction form
    1,473.78/2,032.77 = 913.65/x
  3. Step 3: Cross multiply
    1,473.78x = 2,032.77 × 913.65
  4. Step 4: Simplify right side
    1,473.78x = 1,857,240.31
  5. Step 5: Solve for x
    x = 1,857,240.31/1,473.78
  6. Step 6: Final answer
    x = 1,260.19

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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.