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Finding the Fourth Proportional to 491.13, 677.75 and 284.13

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Solution

The fourth proportional to 491.13, 677.75 and 284.13 is: 392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.13 : 677.75 = 284.13 : x
  2. Step 2: Convert to fraction form
    491.13/677.75 = 284.13/x
  3. Step 3: Cross multiply
    491.13x = 677.75 × 284.13
  4. Step 4: Simplify right side
    491.13x = 192,567.69
  5. Step 5: Solve for x
    x = 192,567.69/491.13
  6. Step 6: Final answer
    x = 392.09

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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.