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Finding the Fourth Proportional to 628.90, 867.58 and 366.75

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Solution

The fourth proportional to 628.90, 867.58 and 366.75 is: 505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.90 : 867.58 = 366.75 : x
  2. Step 2: Convert to fraction form
    628.90/867.58 = 366.75/x
  3. Step 3: Cross multiply
    628.90x = 867.58 × 366.75
  4. Step 4: Simplify right side
    628.90x = 318,184.05
  5. Step 5: Solve for x
    x = 318,184.05/628.90
  6. Step 6: Final answer
    x = 505.94

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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.