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Finding the Fourth Proportional to 899.86, 1,239.28 and 743.13

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Solution

The fourth proportional to 899.86, 1,239.28 and 743.13 is: 1,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.86 : 1,239.28 = 743.13 : x
  2. Step 2: Convert to fraction form
    899.86/1,239.28 = 743.13/x
  3. Step 3: Cross multiply
    899.86x = 1,239.28 × 743.13
  4. Step 4: Simplify right side
    899.86x = 920,946.15
  5. Step 5: Solve for x
    x = 920,946.15/899.86
  6. Step 6: Final answer
    x = 1,023.43

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1.5x scale

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.