Home / 1,223.24-1,688.65-699.17

Finding the Fourth Proportional to 1,223.24, 1,688.65 and 699.17

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Solution

The fourth proportional to 1,223.24, 1,688.65 and 699.17 is: 965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.24 : 1,688.65 = 699.17 : x
  2. Step 2: Convert to fraction form
    1,223.24/1,688.65 = 699.17/x
  3. Step 3: Cross multiply
    1,223.24x = 1,688.65 × 699.17
  4. Step 4: Simplify right side
    1,223.24x = 1,180,643.23
  5. Step 5: Solve for x
    x = 1,180,643.23/1,223.24
  6. Step 6: Final answer
    x = 965.18

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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.