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Finding the Fourth Proportional to 899.92, 1,242 and 507.07

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Solution

The fourth proportional to 899.92, 1,242 and 507.07 is: 699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.92 : 1,242 = 507.07 : x
  2. Step 2: Convert to fraction form
    899.92/1,242 = 507.07/x
  3. Step 3: Cross multiply
    899.92x = 1,242 × 507.07
  4. Step 4: Simplify right side
    899.92x = 629,780.94
  5. Step 5: Solve for x
    x = 629,780.94/899.92
  6. Step 6: Final answer
    x = 699.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.