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Finding the Fourth Proportional to 688.07, 949.23 and 408.32

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Solution

The fourth proportional to 688.07, 949.23 and 408.32 is: 563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.07 : 949.23 = 408.32 : x
  2. Step 2: Convert to fraction form
    688.07/949.23 = 408.32/x
  3. Step 3: Cross multiply
    688.07x = 949.23 × 408.32
  4. Step 4: Simplify right side
    688.07x = 387,588.41
  5. Step 5: Solve for x
    x = 387,588.41/688.07
  6. Step 6: Final answer
    x = 563.30

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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.