Home / 1,432.02-2,147.70-405.78

Finding the Fourth Proportional to 1,432.02, 2,147.70 and 405.78

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Solution

The fourth proportional to 1,432.02, 2,147.70 and 405.78 is: 608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.02 : 2,147.70 = 405.78 : x
  2. Step 2: Convert to fraction form
    1,432.02/2,147.70 = 405.78/x
  3. Step 3: Cross multiply
    1,432.02x = 2,147.70 × 405.78
  4. Step 4: Simplify right side
    1,432.02x = 871,493.71
  5. Step 5: Solve for x
    x = 871,493.71/1,432.02
  6. Step 6: Final answer
    x = 608.58

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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.