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Finding the Fourth Proportional to 613.01, 918.65 and 475.40

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Solution

The fourth proportional to 613.01, 918.65 and 475.40 is: 712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.01 : 918.65 = 475.40 : x
  2. Step 2: Convert to fraction form
    613.01/918.65 = 475.40/x
  3. Step 3: Cross multiply
    613.01x = 918.65 × 475.40
  4. Step 4: Simplify right side
    613.01x = 436,719.24
  5. Step 5: Solve for x
    x = 436,719.24/613.01
  6. Step 6: Final answer
    x = 712.42

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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.