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Finding the Fourth Proportional to 999.99, 1,490.72 and 984.20

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Solution

The fourth proportional to 999.99, 1,490.72 and 984.20 is: 1,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.99 : 1,490.72 = 984.20 : x
  2. Step 2: Convert to fraction form
    999.99/1,490.72 = 984.20/x
  3. Step 3: Cross multiply
    999.99x = 1,490.72 × 984.20
  4. Step 4: Simplify right side
    999.99x = 1,467,154.25
  5. Step 5: Solve for x
    x = 1,467,154.25/999.99
  6. Step 6: Final answer
    x = 1,467.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.