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Finding the Fourth Proportional to 505.14, 696.51 and 400.02

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Solution

The fourth proportional to 505.14, 696.51 and 400.02 is: 551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.14 : 696.51 = 400.02 : x
  2. Step 2: Convert to fraction form
    505.14/696.51 = 400.02/x
  3. Step 3: Cross multiply
    505.14x = 696.51 × 400.02
  4. Step 4: Simplify right side
    505.14x = 278,617.93
  5. Step 5: Solve for x
    x = 278,617.93/505.14
  6. Step 6: Final answer
    x = 551.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.