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Finding the Fourth Proportional to 1,432.37, 2,147.87 and 555.28

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Solution

The fourth proportional to 1,432.37, 2,147.87 and 555.28 is: 832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.37 : 2,147.87 = 555.28 : x
  2. Step 2: Convert to fraction form
    1,432.37/2,147.87 = 555.28/x
  3. Step 3: Cross multiply
    1,432.37x = 2,147.87 × 555.28
  4. Step 4: Simplify right side
    1,432.37x = 1,192,655.74
  5. Step 5: Solve for x
    x = 1,192,655.74/1,432.37
  6. Step 6: Final answer
    x = 832.65

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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.