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Finding the Fourth Proportional to 1,435.13, 2,152.31 and 510.44

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Solution

The fourth proportional to 1,435.13, 2,152.31 and 510.44 is: 765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.13 : 2,152.31 = 510.44 : x
  2. Step 2: Convert to fraction form
    1,435.13/2,152.31 = 510.44/x
  3. Step 3: Cross multiply
    1,435.13x = 2,152.31 × 510.44
  4. Step 4: Simplify right side
    1,435.13x = 1,098,611.80
  5. Step 5: Solve for x
    x = 1,098,611.80/1,435.13
  6. Step 6: Final answer
    x = 765.52

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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.