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Finding the Fourth Proportional to 1,465.64, 2,022.50 and 802.36

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Solution

The fourth proportional to 1,465.64, 2,022.50 and 802.36 is: 1,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.64 : 2,022.50 = 802.36 : x
  2. Step 2: Convert to fraction form
    1,465.64/2,022.50 = 802.36/x
  3. Step 3: Cross multiply
    1,465.64x = 2,022.50 × 802.36
  4. Step 4: Simplify right side
    1,465.64x = 1,622,773.10
  5. Step 5: Solve for x
    x = 1,622,773.10/1,465.64
  6. Step 6: Final answer
    x = 1,107.21

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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.