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Finding the Fourth Proportional to 1,292.60, 1,938.94 and 471.49

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Solution

The fourth proportional to 1,292.60, 1,938.94 and 471.49 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.60 : 1,938.94 = 471.49 : x
  2. Step 2: Convert to fraction form
    1,292.60/1,938.94 = 471.49/x
  3. Step 3: Cross multiply
    1,292.60x = 1,938.94 × 471.49
  4. Step 4: Simplify right side
    1,292.60x = 914,194.72
  5. Step 5: Solve for x
    x = 914,194.72/1,292.60
  6. Step 6: Final answer
    x = 707.25

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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.