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Finding the Fourth Proportional to 730.50, 1,008.17 and 407.15

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Solution

The fourth proportional to 730.50, 1,008.17 and 407.15 is: 561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.50 : 1,008.17 = 407.15 : x
  2. Step 2: Convert to fraction form
    730.50/1,008.17 = 407.15/x
  3. Step 3: Cross multiply
    730.50x = 1,008.17 × 407.15
  4. Step 4: Simplify right side
    730.50x = 410,473.90
  5. Step 5: Solve for x
    x = 410,473.90/730.50
  6. Step 6: Final answer
    x = 561.91

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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.