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Finding the Fourth Proportional to 1,648.54, 2,472.81 and 661.81

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Solution

The fourth proportional to 1,648.54, 2,472.81 and 661.81 is: 992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.54 : 2,472.81 = 661.81 : x
  2. Step 2: Convert to fraction form
    1,648.54/2,472.81 = 661.81/x
  3. Step 3: Cross multiply
    1,648.54x = 2,472.81 × 661.81
  4. Step 4: Simplify right side
    1,648.54x = 1,636,518.02
  5. Step 5: Solve for x
    x = 1,636,518.02/1,648.54
  6. Step 6: Final answer
    x = 992.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.