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Finding the Fourth Proportional to 994.31, 1,490.45 and 507.09

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Solution

The fourth proportional to 994.31, 1,490.45 and 507.09 is: 760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.31 : 1,490.45 = 507.09 : x
  2. Step 2: Convert to fraction form
    994.31/1,490.45 = 507.09/x
  3. Step 3: Cross multiply
    994.31x = 1,490.45 × 507.09
  4. Step 4: Simplify right side
    994.31x = 755,789.76
  5. Step 5: Solve for x
    x = 755,789.76/994.31
  6. Step 6: Final answer
    x = 760.12

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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.