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Finding the Fourth Proportional to 1,472.79, 2,032.64 and 851.79

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Solution

The fourth proportional to 1,472.79, 2,032.64 and 851.79 is: 1,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.79 : 2,032.64 = 851.79 : x
  2. Step 2: Convert to fraction form
    1,472.79/2,032.64 = 851.79/x
  3. Step 3: Cross multiply
    1,472.79x = 2,032.64 × 851.79
  4. Step 4: Simplify right side
    1,472.79x = 1,731,378.17
  5. Step 5: Solve for x
    x = 1,731,378.17/1,472.79
  6. Step 6: Final answer
    x = 1,175.58

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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.