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Finding the Fourth Proportional to 1,352.83, 2,029.53 and 428.53

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Solution

The fourth proportional to 1,352.83, 2,029.53 and 428.53 is: 642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.83 : 2,029.53 = 428.53 : x
  2. Step 2: Convert to fraction form
    1,352.83/2,029.53 = 428.53/x
  3. Step 3: Cross multiply
    1,352.83x = 2,029.53 × 428.53
  4. Step 4: Simplify right side
    1,352.83x = 869,714.49
  5. Step 5: Solve for x
    x = 869,714.49/1,352.83
  6. Step 6: Final answer
    x = 642.89

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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.