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Finding the Fourth Proportional to 1,985.71, 2,978.98 and 599.15

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Solution

The fourth proportional to 1,985.71, 2,978.98 and 599.15 is: 898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.71 : 2,978.98 = 599.15 : x
  2. Step 2: Convert to fraction form
    1,985.71/2,978.98 = 599.15/x
  3. Step 3: Cross multiply
    1,985.71x = 2,978.98 × 599.15
  4. Step 4: Simplify right side
    1,985.71x = 1,784,855.87
  5. Step 5: Solve for x
    x = 1,784,855.87/1,985.71
  6. Step 6: Final answer
    x = 898.85

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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.