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Finding the Fourth Proportional to 707.09, 975.56 and 408.30

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Solution

The fourth proportional to 707.09, 975.56 and 408.30 is: 563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.09 : 975.56 = 408.30 : x
  2. Step 2: Convert to fraction form
    707.09/975.56 = 408.30/x
  3. Step 3: Cross multiply
    707.09x = 975.56 × 408.30
  4. Step 4: Simplify right side
    707.09x = 398,321.15
  5. Step 5: Solve for x
    x = 398,321.15/707.09
  6. Step 6: Final answer
    x = 563.32

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1.5x scale

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.