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Finding the Fourth Proportional to 889.92, 1,332.45 and 600.78

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Solution

The fourth proportional to 889.92, 1,332.45 and 600.78 is: 899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.92 : 1,332.45 = 600.78 : x
  2. Step 2: Convert to fraction form
    889.92/1,332.45 = 600.78/x
  3. Step 3: Cross multiply
    889.92x = 1,332.45 × 600.78
  4. Step 4: Simplify right side
    889.92x = 800,509.31
  5. Step 5: Solve for x
    x = 800,509.31/889.92
  6. Step 6: Final answer
    x = 899.53

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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.