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Finding the Fourth Proportional to 1,339.73, 2,010.50 and 507.49

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Solution

The fourth proportional to 1,339.73, 2,010.50 and 507.49 is: 761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.73 : 2,010.50 = 507.49 : x
  2. Step 2: Convert to fraction form
    1,339.73/2,010.50 = 507.49/x
  3. Step 3: Cross multiply
    1,339.73x = 2,010.50 × 507.49
  4. Step 4: Simplify right side
    1,339.73x = 1,020,308.65
  5. Step 5: Solve for x
    x = 1,020,308.65/1,339.73
  6. Step 6: Final answer
    x = 761.58

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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.