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Finding the Fourth Proportional to 540.81, 811.62 and 378.27

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Solution

The fourth proportional to 540.81, 811.62 and 378.27 is: 567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 811.62 = 378.27 : x
  2. Step 2: Convert to fraction form
    540.81/811.62 = 378.27/x
  3. Step 3: Cross multiply
    540.81x = 811.62 × 378.27
  4. Step 4: Simplify right side
    540.81x = 307,011.50
  5. Step 5: Solve for x
    x = 307,011.50/540.81
  6. Step 6: Final answer
    x = 567.69

Related Problems

Find fourth proportional to 270.41, 405.81 and 189.14
Half scale
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Double scale
Find fourth proportional to 541.81, 813.12 and 379.27
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.