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Finding the Fourth Proportional to 909.59, 1,254.44 and 657.45

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Solution

The fourth proportional to 909.59, 1,254.44 and 657.45 is: 906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.59 : 1,254.44 = 657.45 : x
  2. Step 2: Convert to fraction form
    909.59/1,254.44 = 657.45/x
  3. Step 3: Cross multiply
    909.59x = 1,254.44 × 657.45
  4. Step 4: Simplify right side
    909.59x = 824,732.99
  5. Step 5: Solve for x
    x = 824,732.99/909.59
  6. Step 6: Final answer
    x = 906.71

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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.