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Finding the Fourth Proportional to 909.14, 1,254.17 and 643.58

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Solution

The fourth proportional to 909.14, 1,254.17 and 643.58 is: 887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.14 : 1,254.17 = 643.58 : x
  2. Step 2: Convert to fraction form
    909.14/1,254.17 = 643.58/x
  3. Step 3: Cross multiply
    909.14x = 1,254.17 × 643.58
  4. Step 4: Simplify right side
    909.14x = 807,155.15
  5. Step 5: Solve for x
    x = 807,155.15/909.14
  6. Step 6: Final answer
    x = 887.82

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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.