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Finding the Fourth Proportional to 707, 975.78 and 408.19

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Solution

The fourth proportional to 707, 975.78 and 408.19 is: 563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    707 : 975.78 = 408.19 : x
  2. Step 2: Convert to fraction form
    707/975.78 = 408.19/x
  3. Step 3: Cross multiply
    707x = 975.78 × 408.19
  4. Step 4: Simplify right side
    707x = 398,303.64
  5. Step 5: Solve for x
    x = 398,303.64/707
  6. Step 6: Final answer
    x = 563.37

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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.