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Finding the Fourth Proportional to 993.99, 1,491.50 and 473.90

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Solution

The fourth proportional to 993.99, 1,491.50 and 473.90 is: 711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.99 : 1,491.50 = 473.90 : x
  2. Step 2: Convert to fraction form
    993.99/1,491.50 = 473.90/x
  3. Step 3: Cross multiply
    993.99x = 1,491.50 × 473.90
  4. Step 4: Simplify right side
    993.99x = 706,812.02
  5. Step 5: Solve for x
    x = 706,812.02/993.99
  6. Step 6: Final answer
    x = 711.09

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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.