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Finding the Fourth Proportional to 1,088.25, 1,501.03 and 695.09

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Solution

The fourth proportional to 1,088.25, 1,501.03 and 695.09 is: 958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.25 : 1,501.03 = 695.09 : x
  2. Step 2: Convert to fraction form
    1,088.25/1,501.03 = 695.09/x
  3. Step 3: Cross multiply
    1,088.25x = 1,501.03 × 695.09
  4. Step 4: Simplify right side
    1,088.25x = 1,043,355.56
  5. Step 5: Solve for x
    x = 1,043,355.56/1,088.25
  6. Step 6: Final answer
    x = 958.75

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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.