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Finding the Fourth Proportional to 1,607.58, 2,411.19 and 511.94

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Solution

The fourth proportional to 1,607.58, 2,411.19 and 511.94 is: 767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.58 : 2,411.19 = 511.94 : x
  2. Step 2: Convert to fraction form
    1,607.58/2,411.19 = 511.94/x
  3. Step 3: Cross multiply
    1,607.58x = 2,411.19 × 511.94
  4. Step 4: Simplify right side
    1,607.58x = 1,234,390.64
  5. Step 5: Solve for x
    x = 1,234,390.64/1,607.58
  6. Step 6: Final answer
    x = 767.86

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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.