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Finding the Fourth Proportional to 628.86, 867.70 and 380.20

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Solution

The fourth proportional to 628.86, 867.70 and 380.20 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.86 : 867.70 = 380.20 : x
  2. Step 2: Convert to fraction form
    628.86/867.70 = 380.20/x
  3. Step 3: Cross multiply
    628.86x = 867.70 × 380.20
  4. Step 4: Simplify right side
    628.86x = 329,899.54
  5. Step 5: Solve for x
    x = 329,899.54/628.86
  6. Step 6: Final answer
    x = 524.60

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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.