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Finding the Fourth Proportional to 1,532.70, 2,299.53 and 985.50

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Solution

The fourth proportional to 1,532.70, 2,299.53 and 985.50 is: 1,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.70 : 2,299.53 = 985.50 : x
  2. Step 2: Convert to fraction form
    1,532.70/2,299.53 = 985.50/x
  3. Step 3: Cross multiply
    1,532.70x = 2,299.53 × 985.50
  4. Step 4: Simplify right side
    1,532.70x = 2,266,186.82
  5. Step 5: Solve for x
    x = 2,266,186.82/1,532.70
  6. Step 6: Final answer
    x = 1,478.56

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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.