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Finding the Fourth Proportional to 952.08, 1,421.52 and 918.48

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Solution

The fourth proportional to 952.08, 1,421.52 and 918.48 is: 1,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.08 : 1,421.52 = 918.48 : x
  2. Step 2: Convert to fraction form
    952.08/1,421.52 = 918.48/x
  3. Step 3: Cross multiply
    952.08x = 1,421.52 × 918.48
  4. Step 4: Simplify right side
    952.08x = 1,305,637.69
  5. Step 5: Solve for x
    x = 1,305,637.69/952.08
  6. Step 6: Final answer
    x = 1,371.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.