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Finding the Fourth Proportional to 939.95, 1,409.93 and 392.13

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Solution

The fourth proportional to 939.95, 1,409.93 and 392.13 is: 588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.95 : 1,409.93 = 392.13 : x
  2. Step 2: Convert to fraction form
    939.95/1,409.93 = 392.13/x
  3. Step 3: Cross multiply
    939.95x = 1,409.93 × 392.13
  4. Step 4: Simplify right side
    939.95x = 552,875.85
  5. Step 5: Solve for x
    x = 552,875.85/939.95
  6. Step 6: Final answer
    x = 588.20

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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.