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Finding the Fourth Proportional to 892.86, 1,338.95 and 430.53

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Solution

The fourth proportional to 892.86, 1,338.95 and 430.53 is: 645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.86 : 1,338.95 = 430.53 : x
  2. Step 2: Convert to fraction form
    892.86/1,338.95 = 430.53/x
  3. Step 3: Cross multiply
    892.86x = 1,338.95 × 430.53
  4. Step 4: Simplify right side
    892.86x = 576,459.22
  5. Step 5: Solve for x
    x = 576,459.22/892.86
  6. Step 6: Final answer
    x = 645.63

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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.