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Finding the Fourth Proportional to 985.73, 1,475.99 and 595.22

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Solution

The fourth proportional to 985.73, 1,475.99 and 595.22 is: 891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.73 : 1,475.99 = 595.22 : x
  2. Step 2: Convert to fraction form
    985.73/1,475.99 = 595.22/x
  3. Step 3: Cross multiply
    985.73x = 1,475.99 × 595.22
  4. Step 4: Simplify right side
    985.73x = 878,532.88
  5. Step 5: Solve for x
    x = 878,532.88/985.73
  6. Step 6: Final answer
    x = 891.25

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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.