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Finding the Fourth Proportional to 1,268.34, 1,750.05 and 802.50

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Solution

The fourth proportional to 1,268.34, 1,750.05 and 802.50 is: 1,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.34 : 1,750.05 = 802.50 : x
  2. Step 2: Convert to fraction form
    1,268.34/1,750.05 = 802.50/x
  3. Step 3: Cross multiply
    1,268.34x = 1,750.05 × 802.50
  4. Step 4: Simplify right side
    1,268.34x = 1,404,415.13
  5. Step 5: Solve for x
    x = 1,404,415.13/1,268.34
  6. Step 6: Final answer
    x = 1,107.29

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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.