Home / 1,688.23-2,329.79-942.24

Finding the Fourth Proportional to 1,688.23, 2,329.79 and 942.24

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Solution

The fourth proportional to 1,688.23, 2,329.79 and 942.24 is: 1,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.23 : 2,329.79 = 942.24 : x
  2. Step 2: Convert to fraction form
    1,688.23/2,329.79 = 942.24/x
  3. Step 3: Cross multiply
    1,688.23x = 2,329.79 × 942.24
  4. Step 4: Simplify right side
    1,688.23x = 2,195,216.62
  5. Step 5: Solve for x
    x = 2,195,216.62/1,688.23
  6. Step 6: Final answer
    x = 1,300.31

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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.