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Finding the Fourth Proportional to 939.30, 1,409.13 and 592.74

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Solution

The fourth proportional to 939.30, 1,409.13 and 592.74 is: 889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.30 : 1,409.13 = 592.74 : x
  2. Step 2: Convert to fraction form
    939.30/1,409.13 = 592.74/x
  3. Step 3: Cross multiply
    939.30x = 1,409.13 × 592.74
  4. Step 4: Simplify right side
    939.30x = 835,247.72
  5. Step 5: Solve for x
    x = 835,247.72/939.30
  6. Step 6: Final answer
    x = 889.22

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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.