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Finding the Fourth Proportional to 620.32, 851.36 and 561.76

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Solution

The fourth proportional to 620.32, 851.36 and 561.76 is: 770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.32 : 851.36 = 561.76 : x
  2. Step 2: Convert to fraction form
    620.32/851.36 = 561.76/x
  3. Step 3: Cross multiply
    620.32x = 851.36 × 561.76
  4. Step 4: Simplify right side
    620.32x = 478,259.99
  5. Step 5: Solve for x
    x = 478,259.99/620.32
  6. Step 6: Final answer
    x = 770.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.