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Finding the Fourth Proportional to 1,420.02, 2,130.20 and 495.90

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Solution

The fourth proportional to 1,420.02, 2,130.20 and 495.90 is: 743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.02 : 2,130.20 = 495.90 : x
  2. Step 2: Convert to fraction form
    1,420.02/2,130.20 = 495.90/x
  3. Step 3: Cross multiply
    1,420.02x = 2,130.20 × 495.90
  4. Step 4: Simplify right side
    1,420.02x = 1,056,366.18
  5. Step 5: Solve for x
    x = 1,056,366.18/1,420.02
  6. Step 6: Final answer
    x = 743.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.