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Finding the Fourth Proportional to 909.67, 1,364.22 and 476.59

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Solution

The fourth proportional to 909.67, 1,364.22 and 476.59 is: 714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.67 : 1,364.22 = 476.59 : x
  2. Step 2: Convert to fraction form
    909.67/1,364.22 = 476.59/x
  3. Step 3: Cross multiply
    909.67x = 1,364.22 × 476.59
  4. Step 4: Simplify right side
    909.67x = 650,173.61
  5. Step 5: Solve for x
    x = 650,173.61/909.67
  6. Step 6: Final answer
    x = 714.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.