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Finding the Fourth Proportional to 900.82, 1,243.01 and 507.85

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Solution

The fourth proportional to 900.82, 1,243.01 and 507.85 is: 700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.82 : 1,243.01 = 507.85 : x
  2. Step 2: Convert to fraction form
    900.82/1,243.01 = 507.85/x
  3. Step 3: Cross multiply
    900.82x = 1,243.01 × 507.85
  4. Step 4: Simplify right side
    900.82x = 631,260.09
  5. Step 5: Solve for x
    x = 631,260.09/900.82
  6. Step 6: Final answer
    x = 700.76

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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.