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Finding the Fourth Proportional to 620.25, 856.40 and 410.35

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Solution

The fourth proportional to 620.25, 856.40 and 410.35 is: 566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.25 : 856.40 = 410.35 : x
  2. Step 2: Convert to fraction form
    620.25/856.40 = 410.35/x
  3. Step 3: Cross multiply
    620.25x = 856.40 × 410.35
  4. Step 4: Simplify right side
    620.25x = 351,423.74
  5. Step 5: Solve for x
    x = 351,423.74/620.25
  6. Step 6: Final answer
    x = 566.58

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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.