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Finding the Fourth Proportional to 1,507.71, 2,262.26 and 776.89

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Solution

The fourth proportional to 1,507.71, 2,262.26 and 776.89 is: 1,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.71 : 2,262.26 = 776.89 : x
  2. Step 2: Convert to fraction form
    1,507.71/2,262.26 = 776.89/x
  3. Step 3: Cross multiply
    1,507.71x = 2,262.26 × 776.89
  4. Step 4: Simplify right side
    1,507.71x = 1,757,531.94
  5. Step 5: Solve for x
    x = 1,757,531.94/1,507.71
  6. Step 6: Final answer
    x = 1,165.69

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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.