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Finding the Fourth Proportional to 1,689.00, 2,533.42 and 518.95

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Solution

The fourth proportional to 1,689.00, 2,533.42 and 518.95 is: 778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.00 : 2,533.42 = 518.95 : x
  2. Step 2: Convert to fraction form
    1,689.00/2,533.42 = 518.95/x
  3. Step 3: Cross multiply
    1,689.00x = 2,533.42 × 518.95
  4. Step 4: Simplify right side
    1,689.00x = 1,314,717.01
  5. Step 5: Solve for x
    x = 1,314,717.01/1,689.00
  6. Step 6: Final answer
    x = 778.40

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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.