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Finding the Fourth Proportional to 1,508.90, 2,263.21 and 521.62

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Solution

The fourth proportional to 1,508.90, 2,263.21 and 521.62 is: 782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.90 : 2,263.21 = 521.62 : x
  2. Step 2: Convert to fraction form
    1,508.90/2,263.21 = 521.62/x
  3. Step 3: Cross multiply
    1,508.90x = 2,263.21 × 521.62
  4. Step 4: Simplify right side
    1,508.90x = 1,180,528.64
  5. Step 5: Solve for x
    x = 1,180,528.64/1,508.90
  6. Step 6: Final answer
    x = 782.38

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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.