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Finding the Fourth Proportional to 1,291.97, 1,938.11 and 470.63

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Solution

The fourth proportional to 1,291.97, 1,938.11 and 470.63 is: 706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.97 : 1,938.11 = 470.63 : x
  2. Step 2: Convert to fraction form
    1,291.97/1,938.11 = 470.63/x
  3. Step 3: Cross multiply
    1,291.97x = 1,938.11 × 470.63
  4. Step 4: Simplify right side
    1,291.97x = 912,132.71
  5. Step 5: Solve for x
    x = 912,132.71/1,291.97
  6. Step 6: Final answer
    x = 706.00

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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.