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Finding the Fourth Proportional to 948.24, 1,427.76 and 661.50

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Solution

The fourth proportional to 948.24, 1,427.76 and 661.50 is: 996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.24 : 1,427.76 = 661.50 : x
  2. Step 2: Convert to fraction form
    948.24/1,427.76 = 661.50/x
  3. Step 3: Cross multiply
    948.24x = 1,427.76 × 661.50
  4. Step 4: Simplify right side
    948.24x = 944,463.24
  5. Step 5: Solve for x
    x = 944,463.24/948.24
  6. Step 6: Final answer
    x = 996.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.