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Finding the Fourth Proportional to 730.11, 1,006.49 and 450.13

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Solution

The fourth proportional to 730.11, 1,006.49 and 450.13 is: 620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.11 : 1,006.49 = 450.13 : x
  2. Step 2: Convert to fraction form
    730.11/1,006.49 = 450.13/x
  3. Step 3: Cross multiply
    730.11x = 1,006.49 × 450.13
  4. Step 4: Simplify right side
    730.11x = 453,051.34
  5. Step 5: Solve for x
    x = 453,051.34/730.11
  6. Step 6: Final answer
    x = 620.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.