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Finding the Fourth Proportional to 1,291.51, 1,938.02 and 511.59

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Solution

The fourth proportional to 1,291.51, 1,938.02 and 511.59 is: 767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.51 : 1,938.02 = 511.59 : x
  2. Step 2: Convert to fraction form
    1,291.51/1,938.02 = 511.59/x
  3. Step 3: Cross multiply
    1,291.51x = 1,938.02 × 511.59
  4. Step 4: Simplify right side
    1,291.51x = 991,472.35
  5. Step 5: Solve for x
    x = 991,472.35/1,291.51
  6. Step 6: Final answer
    x = 767.68

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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.