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Finding the Fourth Proportional to 1,611.17, 2,417.12 and 515.64

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Solution

The fourth proportional to 1,611.17, 2,417.12 and 515.64 is: 773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.17 : 2,417.12 = 515.64 : x
  2. Step 2: Convert to fraction form
    1,611.17/2,417.12 = 515.64/x
  3. Step 3: Cross multiply
    1,611.17x = 2,417.12 × 515.64
  4. Step 4: Simplify right side
    1,611.17x = 1,246,363.76
  5. Step 5: Solve for x
    x = 1,246,363.76/1,611.17
  6. Step 6: Final answer
    x = 773.58

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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.