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Finding the Fourth Proportional to 1,985.43, 2,978.24 and 598.80

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Solution

The fourth proportional to 1,985.43, 2,978.24 and 598.80 is: 898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.43 : 2,978.24 = 598.80 : x
  2. Step 2: Convert to fraction form
    1,985.43/2,978.24 = 598.80/x
  3. Step 3: Cross multiply
    1,985.43x = 2,978.24 × 598.80
  4. Step 4: Simplify right side
    1,985.43x = 1,783,367.12
  5. Step 5: Solve for x
    x = 1,783,367.12/1,985.43
  6. Step 6: Final answer
    x = 898.23

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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.