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Finding the Fourth Proportional to 503.42, 691.72 and 409.93

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Solution

The fourth proportional to 503.42, 691.72 and 409.93 is: 563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.42 : 691.72 = 409.93 : x
  2. Step 2: Convert to fraction form
    503.42/691.72 = 409.93/x
  3. Step 3: Cross multiply
    503.42x = 691.72 × 409.93
  4. Step 4: Simplify right side
    503.42x = 283,556.33
  5. Step 5: Solve for x
    x = 283,556.33/503.42
  6. Step 6: Final answer
    x = 563.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.