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Finding the Fourth Proportional to 948.47, 1,309.50 and 783.09

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Solution

The fourth proportional to 948.47, 1,309.50 and 783.09 is: 1,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.47 : 1,309.50 = 783.09 : x
  2. Step 2: Convert to fraction form
    948.47/1,309.50 = 783.09/x
  3. Step 3: Cross multiply
    948.47x = 1,309.50 × 783.09
  4. Step 4: Simplify right side
    948.47x = 1,025,456.36
  5. Step 5: Solve for x
    x = 1,025,456.36/948.47
  6. Step 6: Final answer
    x = 1,081.17

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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.