Home / 1,301.12-1,796.64-929.24

Finding the Fourth Proportional to 1,301.12, 1,796.64 and 929.24

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Solution

The fourth proportional to 1,301.12, 1,796.64 and 929.24 is: 1,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.12 : 1,796.64 = 929.24 : x
  2. Step 2: Convert to fraction form
    1,301.12/1,796.64 = 929.24/x
  3. Step 3: Cross multiply
    1,301.12x = 1,796.64 × 929.24
  4. Step 4: Simplify right side
    1,301.12x = 1,669,509.75
  5. Step 5: Solve for x
    x = 1,669,509.75/1,301.12
  6. Step 6: Final answer
    x = 1,283.13

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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.