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Finding the Fourth Proportional to 939.83, 1,410.07 and 592.79

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Solution

The fourth proportional to 939.83, 1,410.07 and 592.79 is: 889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.83 : 1,410.07 = 592.79 : x
  2. Step 2: Convert to fraction form
    939.83/1,410.07 = 592.79/x
  3. Step 3: Cross multiply
    939.83x = 1,410.07 × 592.79
  4. Step 4: Simplify right side
    939.83x = 835,875.40
  5. Step 5: Solve for x
    x = 835,875.40/939.83
  6. Step 6: Final answer
    x = 889.39

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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.