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Finding the Fourth Proportional to 620.57, 856.23 and 424.15

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Solution

The fourth proportional to 620.57, 856.23 and 424.15 is: 585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.57 : 856.23 = 424.15 : x
  2. Step 2: Convert to fraction form
    620.57/856.23 = 424.15/x
  3. Step 3: Cross multiply
    620.57x = 856.23 × 424.15
  4. Step 4: Simplify right side
    620.57x = 363,169.95
  5. Step 5: Solve for x
    x = 363,169.95/620.57
  6. Step 6: Final answer
    x = 585.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.