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Finding the Fourth Proportional to 1,607.71, 2,411.74 and 511.82

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Solution

The fourth proportional to 1,607.71, 2,411.74 and 511.82 is: 767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.71 : 2,411.74 = 511.82 : x
  2. Step 2: Convert to fraction form
    1,607.71/2,411.74 = 511.82/x
  3. Step 3: Cross multiply
    1,607.71x = 2,411.74 × 511.82
  4. Step 4: Simplify right side
    1,607.71x = 1,234,368.84
  5. Step 5: Solve for x
    x = 1,234,368.84/1,607.71
  6. Step 6: Final answer
    x = 767.78

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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.