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Finding the Fourth Proportional to 613.04, 919.55 and 180.09

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Solution

The fourth proportional to 613.04, 919.55 and 180.09 is: 270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.04 : 919.55 = 180.09 : x
  2. Step 2: Convert to fraction form
    613.04/919.55 = 180.09/x
  3. Step 3: Cross multiply
    613.04x = 919.55 × 180.09
  4. Step 4: Simplify right side
    613.04x = 165,602.21
  5. Step 5: Solve for x
    x = 165,602.21/613.04
  6. Step 6: Final answer
    x = 270.14

Related Problems

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Half scale
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Double scale
Find fourth proportional to 614.04, 921.05 and 181.09
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.