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Finding the Fourth Proportional to 567.49, 854.39 and 444.77

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Solution

The fourth proportional to 567.49, 854.39 and 444.77 is: 669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.49 : 854.39 = 444.77 : x
  2. Step 2: Convert to fraction form
    567.49/854.39 = 444.77/x
  3. Step 3: Cross multiply
    567.49x = 854.39 × 444.77
  4. Step 4: Simplify right side
    567.49x = 380,002.77
  5. Step 5: Solve for x
    x = 380,002.77/567.49
  6. Step 6: Final answer
    x = 669.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.