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Finding the Fourth Proportional to 948.40, 1,309.13 and 649.82

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Solution

The fourth proportional to 948.40, 1,309.13 and 649.82 is: 896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.40 : 1,309.13 = 649.82 : x
  2. Step 2: Convert to fraction form
    948.40/1,309.13 = 649.82/x
  3. Step 3: Cross multiply
    948.40x = 1,309.13 × 649.82
  4. Step 4: Simplify right side
    948.40x = 850,693.94
  5. Step 5: Solve for x
    x = 850,693.94/948.40
  6. Step 6: Final answer
    x = 896.98

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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.