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Finding the Fourth Proportional to 1,465.02, 2,021.76 and 844.02

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Solution

The fourth proportional to 1,465.02, 2,021.76 and 844.02 is: 1,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.02 : 2,021.76 = 844.02 : x
  2. Step 2: Convert to fraction form
    1,465.02/2,021.76 = 844.02/x
  3. Step 3: Cross multiply
    1,465.02x = 2,021.76 × 844.02
  4. Step 4: Simplify right side
    1,465.02x = 1,706,405.88
  5. Step 5: Solve for x
    x = 1,706,405.88/1,465.02
  6. Step 6: Final answer
    x = 1,164.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.