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Finding the Fourth Proportional to 1,333.76, 2,000.36 and 456.17

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Solution

The fourth proportional to 1,333.76, 2,000.36 and 456.17 is: 684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.76 : 2,000.36 = 456.17 : x
  2. Step 2: Convert to fraction form
    1,333.76/2,000.36 = 456.17/x
  3. Step 3: Cross multiply
    1,333.76x = 2,000.36 × 456.17
  4. Step 4: Simplify right side
    1,333.76x = 912,495.36
  5. Step 5: Solve for x
    x = 912,495.36/1,333.76
  6. Step 6: Final answer
    x = 684.16

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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.