Home / 1,420.49-2,130.66-433.28

Finding the Fourth Proportional to 1,420.49, 2,130.66 and 433.28

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Solution

The fourth proportional to 1,420.49, 2,130.66 and 433.28 is: 649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.49 : 2,130.66 = 433.28 : x
  2. Step 2: Convert to fraction form
    1,420.49/2,130.66 = 433.28/x
  3. Step 3: Cross multiply
    1,420.49x = 2,130.66 × 433.28
  4. Step 4: Simplify right side
    1,420.49x = 923,177.69
  5. Step 5: Solve for x
    x = 923,177.69/1,420.49
  6. Step 6: Final answer
    x = 649.90

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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.