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Finding the Fourth Proportional to 1,292.95, 1,939.17 and 589.99

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Solution

The fourth proportional to 1,292.95, 1,939.17 and 589.99 is: 884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.95 : 1,939.17 = 589.99 : x
  2. Step 2: Convert to fraction form
    1,292.95/1,939.17 = 589.99/x
  3. Step 3: Cross multiply
    1,292.95x = 1,939.17 × 589.99
  4. Step 4: Simplify right side
    1,292.95x = 1,144,090.91
  5. Step 5: Solve for x
    x = 1,144,090.91/1,292.95
  6. Step 6: Final answer
    x = 884.87

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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.