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Finding the Fourth Proportional to 776.85, 1,072.07 and 422.77

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Solution

The fourth proportional to 776.85, 1,072.07 and 422.77 is: 583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.85 : 1,072.07 = 422.77 : x
  2. Step 2: Convert to fraction form
    776.85/1,072.07 = 422.77/x
  3. Step 3: Cross multiply
    776.85x = 1,072.07 × 422.77
  4. Step 4: Simplify right side
    776.85x = 453,237.41
  5. Step 5: Solve for x
    x = 453,237.41/776.85
  6. Step 6: Final answer
    x = 583.43

Related Problems

Find fourth proportional to 388.43, 536.04 and 211.38
Half scale
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Double scale
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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.