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Finding the Fourth Proportional to 1,607.10, 2,409.80 and 511.18

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Solution

The fourth proportional to 1,607.10, 2,409.80 and 511.18 is: 766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.10 : 2,409.80 = 511.18 : x
  2. Step 2: Convert to fraction form
    1,607.10/2,409.80 = 511.18/x
  3. Step 3: Cross multiply
    1,607.10x = 2,409.80 × 511.18
  4. Step 4: Simplify right side
    1,607.10x = 1,231,841.56
  5. Step 5: Solve for x
    x = 1,231,841.56/1,607.10
  6. Step 6: Final answer
    x = 766.50

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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.