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Finding the Fourth Proportional to 561.82, 775.19 and 340.78

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Solution

The fourth proportional to 561.82, 775.19 and 340.78 is: 470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.82 : 775.19 = 340.78 : x
  2. Step 2: Convert to fraction form
    561.82/775.19 = 340.78/x
  3. Step 3: Cross multiply
    561.82x = 775.19 × 340.78
  4. Step 4: Simplify right side
    561.82x = 264,169.25
  5. Step 5: Solve for x
    x = 264,169.25/561.82
  6. Step 6: Final answer
    x = 470.20

Related Problems

Find fourth proportional to 280.91, 387.60 and 170.39
Half scale
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Double scale
Find fourth proportional to 562.82, 776.57 and 341.78
Similar ratio
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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.