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Finding the Fourth Proportional to 501.64, 691.62 and 414.28

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Solution

The fourth proportional to 501.64, 691.62 and 414.28 is: 571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.64 : 691.62 = 414.28 : x
  2. Step 2: Convert to fraction form
    501.64/691.62 = 414.28/x
  3. Step 3: Cross multiply
    501.64x = 691.62 × 414.28
  4. Step 4: Simplify right side
    501.64x = 286,524.33
  5. Step 5: Solve for x
    x = 286,524.33/501.64
  6. Step 6: Final answer
    x = 571.18

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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.