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Finding the Fourth Proportional to 620.80, 856.02 and 424.42

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Solution

The fourth proportional to 620.80, 856.02 and 424.42 is: 585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.80 : 856.02 = 424.42 : x
  2. Step 2: Convert to fraction form
    620.80/856.02 = 424.42/x
  3. Step 3: Cross multiply
    620.80x = 856.02 × 424.42
  4. Step 4: Simplify right side
    620.80x = 363,312.01
  5. Step 5: Solve for x
    x = 363,312.01/620.80
  6. Step 6: Final answer
    x = 585.23

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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.