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Finding the Fourth Proportional to 1,440.90, 2,160.54 and 816.12

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Solution

The fourth proportional to 1,440.90, 2,160.54 and 816.12 is: 1,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.90 : 2,160.54 = 816.12 : x
  2. Step 2: Convert to fraction form
    1,440.90/2,160.54 = 816.12/x
  3. Step 3: Cross multiply
    1,440.90x = 2,160.54 × 816.12
  4. Step 4: Simplify right side
    1,440.90x = 1,763,259.90
  5. Step 5: Solve for x
    x = 1,763,259.90/1,440.90
  6. Step 6: Final answer
    x = 1,223.72

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1.5x scale

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.