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Finding the Fourth Proportional to 2,404.95, 3,607.44 and 761.51

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Solution

The fourth proportional to 2,404.95, 3,607.44 and 761.51 is: 1,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.95 : 3,607.44 = 761.51 : x
  2. Step 2: Convert to fraction form
    2,404.95/3,607.44 = 761.51/x
  3. Step 3: Cross multiply
    2,404.95x = 3,607.44 × 761.51
  4. Step 4: Simplify right side
    2,404.95x = 2,747,079.79
  5. Step 5: Solve for x
    x = 2,747,079.79/2,404.95
  6. Step 6: Final answer
    x = 1,142.26

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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.