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Finding the Fourth Proportional to 776.76, 1,072.16 and 620.49

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Solution

The fourth proportional to 776.76, 1,072.16 and 620.49 is: 856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.76 : 1,072.16 = 620.49 : x
  2. Step 2: Convert to fraction form
    776.76/1,072.16 = 620.49/x
  3. Step 3: Cross multiply
    776.76x = 1,072.16 × 620.49
  4. Step 4: Simplify right side
    776.76x = 665,260.50
  5. Step 5: Solve for x
    x = 665,260.50/776.76
  6. Step 6: Final answer
    x = 856.45

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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.