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Finding the Fourth Proportional to 662.64, 914.40 and 400.80

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Solution

The fourth proportional to 662.64, 914.40 and 400.80 is: 553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.64 : 914.40 = 400.80 : x
  2. Step 2: Convert to fraction form
    662.64/914.40 = 400.80/x
  3. Step 3: Cross multiply
    662.64x = 914.40 × 400.80
  4. Step 4: Simplify right side
    662.64x = 366,491.52
  5. Step 5: Solve for x
    x = 366,491.52/662.64
  6. Step 6: Final answer
    x = 553.08

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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.