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Finding the Fourth Proportional to 620.26, 856.38 and 510.10

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Solution

The fourth proportional to 620.26, 856.38 and 510.10 is: 704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.26 : 856.38 = 510.10 : x
  2. Step 2: Convert to fraction form
    620.26/856.38 = 510.10/x
  3. Step 3: Cross multiply
    620.26x = 856.38 × 510.10
  4. Step 4: Simplify right side
    620.26x = 436,839.44
  5. Step 5: Solve for x
    x = 436,839.44/620.26
  6. Step 6: Final answer
    x = 704.28

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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.