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Finding the Fourth Proportional to 948.99, 1,309.57 and 654.55

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Solution

The fourth proportional to 948.99, 1,309.57 and 654.55 is: 903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.99 : 1,309.57 = 654.55 : x
  2. Step 2: Convert to fraction form
    948.99/1,309.57 = 654.55/x
  3. Step 3: Cross multiply
    948.99x = 1,309.57 × 654.55
  4. Step 4: Simplify right side
    948.99x = 857,179.04
  5. Step 5: Solve for x
    x = 857,179.04/948.99
  6. Step 6: Final answer
    x = 903.25

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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.