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Finding the Fourth Proportional to 611.77, 844.20 and 346.21

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Solution

The fourth proportional to 611.77, 844.20 and 346.21 is: 477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.77 : 844.20 = 346.21 : x
  2. Step 2: Convert to fraction form
    611.77/844.20 = 346.21/x
  3. Step 3: Cross multiply
    611.77x = 844.20 × 346.21
  4. Step 4: Simplify right side
    611.77x = 292,270.48
  5. Step 5: Solve for x
    x = 292,270.48/611.77
  6. Step 6: Final answer
    x = 477.75

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Double scale
Find fourth proportional to 612.77, 845.58 and 347.21
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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.