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Finding the Fourth Proportional to 762.85, 1,143.08 and 589.94

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Solution

The fourth proportional to 762.85, 1,143.08 and 589.94 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.85 : 1,143.08 = 589.94 : x
  2. Step 2: Convert to fraction form
    762.85/1,143.08 = 589.94/x
  3. Step 3: Cross multiply
    762.85x = 1,143.08 × 589.94
  4. Step 4: Simplify right side
    762.85x = 674,356.20
  5. Step 5: Solve for x
    x = 674,356.20/762.85
  6. Step 6: Final answer
    x = 883.99

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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.