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Finding the Fourth Proportional to 613.19, 846.27 and 377.27

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Solution

The fourth proportional to 613.19, 846.27 and 377.27 is: 520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.19 : 846.27 = 377.27 : x
  2. Step 2: Convert to fraction form
    613.19/846.27 = 377.27/x
  3. Step 3: Cross multiply
    613.19x = 846.27 × 377.27
  4. Step 4: Simplify right side
    613.19x = 319,272.28
  5. Step 5: Solve for x
    x = 319,272.28/613.19
  6. Step 6: Final answer
    x = 520.67

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Half scale
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Double scale
Find fourth proportional to 614.19, 847.65 and 378.27
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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.