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Finding the Fourth Proportional to 1,333.71, 2,000.51 and 456.30

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Solution

The fourth proportional to 1,333.71, 2,000.51 and 456.30 is: 684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.71 : 2,000.51 = 456.30 : x
  2. Step 2: Convert to fraction form
    1,333.71/2,000.51 = 456.30/x
  3. Step 3: Cross multiply
    1,333.71x = 2,000.51 × 456.30
  4. Step 4: Simplify right side
    1,333.71x = 912,832.14
  5. Step 5: Solve for x
    x = 912,832.14/1,333.71
  6. Step 6: Final answer
    x = 684.43

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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.