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Finding the Fourth Proportional to 662.10, 913.80 and 400.15

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Solution

The fourth proportional to 662.10, 913.80 and 400.15 is: 552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.10 : 913.80 = 400.15 : x
  2. Step 2: Convert to fraction form
    662.10/913.80 = 400.15/x
  3. Step 3: Cross multiply
    662.10x = 913.80 × 400.15
  4. Step 4: Simplify right side
    662.10x = 365,657.07
  5. Step 5: Solve for x
    x = 365,657.07/662.10
  6. Step 6: Final answer
    x = 552.27

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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.