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Finding the Fourth Proportional to 999.68, 1,500.19 and 451.91

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Solution

The fourth proportional to 999.68, 1,500.19 and 451.91 is: 678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.68 : 1,500.19 = 451.91 : x
  2. Step 2: Convert to fraction form
    999.68/1,500.19 = 451.91/x
  3. Step 3: Cross multiply
    999.68x = 1,500.19 × 451.91
  4. Step 4: Simplify right side
    999.68x = 677,953.48
  5. Step 5: Solve for x
    x = 677,953.48/999.68
  6. Step 6: Final answer
    x = 678.17

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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.