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Finding the Fourth Proportional to 985.59, 1,471.44 and 753.26

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Solution

The fourth proportional to 985.59, 1,471.44 and 753.26 is: 1,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.59 : 1,471.44 = 753.26 : x
  2. Step 2: Convert to fraction form
    985.59/1,471.44 = 753.26/x
  3. Step 3: Cross multiply
    985.59x = 1,471.44 × 753.26
  4. Step 4: Simplify right side
    985.59x = 1,108,372.36
  5. Step 5: Solve for x
    x = 1,108,372.36/985.59
  6. Step 6: Final answer
    x = 1,124.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.