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Finding the Fourth Proportional to 993.90, 1,491.81 and 507.30

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Solution

The fourth proportional to 993.90, 1,491.81 and 507.30 is: 761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.90 : 1,491.81 = 507.30 : x
  2. Step 2: Convert to fraction form
    993.90/1,491.81 = 507.30/x
  3. Step 3: Cross multiply
    993.90x = 1,491.81 × 507.30
  4. Step 4: Simplify right side
    993.90x = 756,795.21
  5. Step 5: Solve for x
    x = 756,795.21/993.90
  6. Step 6: Final answer
    x = 761.44

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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.