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Finding the Fourth Proportional to 707.01, 975.75 and 408.30

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Solution

The fourth proportional to 707.01, 975.75 and 408.30 is: 563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.01 : 975.75 = 408.30 : x
  2. Step 2: Convert to fraction form
    707.01/975.75 = 408.30/x
  3. Step 3: Cross multiply
    707.01x = 975.75 × 408.30
  4. Step 4: Simplify right side
    707.01x = 398,398.73
  5. Step 5: Solve for x
    x = 398,398.73/707.01
  6. Step 6: Final answer
    x = 563.50

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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.