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Finding the Fourth Proportional to 620.35, 855.48 and 410.71

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Solution

The fourth proportional to 620.35, 855.48 and 410.71 is: 566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.35 : 855.48 = 410.71 : x
  2. Step 2: Convert to fraction form
    620.35/855.48 = 410.71/x
  3. Step 3: Cross multiply
    620.35x = 855.48 × 410.71
  4. Step 4: Simplify right side
    620.35x = 351,354.19
  5. Step 5: Solve for x
    x = 351,354.19/620.35
  6. Step 6: Final answer
    x = 566.38

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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.