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Finding the Fourth Proportional to 620.62, 856.50 and 509.78

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Solution

The fourth proportional to 620.62, 856.50 and 509.78 is: 703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.62 : 856.50 = 509.78 : x
  2. Step 2: Convert to fraction form
    620.62/856.50 = 509.78/x
  3. Step 3: Cross multiply
    620.62x = 856.50 × 509.78
  4. Step 4: Simplify right side
    620.62x = 436,626.57
  5. Step 5: Solve for x
    x = 436,626.57/620.62
  6. Step 6: Final answer
    x = 703.53

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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.