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Finding the Fourth Proportional to 505.02, 696.87 and 295.12

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Solution

The fourth proportional to 505.02, 696.87 and 295.12 is: 407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.02 : 696.87 = 295.12 : x
  2. Step 2: Convert to fraction form
    505.02/696.87 = 295.12/x
  3. Step 3: Cross multiply
    505.02x = 696.87 × 295.12
  4. Step 4: Simplify right side
    505.02x = 205,658.53
  5. Step 5: Solve for x
    x = 205,658.53/505.02
  6. Step 6: Final answer
    x = 407.23

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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.