Home / 1,345.24-2,017.96-523.16

Finding the Fourth Proportional to 1,345.24, 2,017.96 and 523.16

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Solution

The fourth proportional to 1,345.24, 2,017.96 and 523.16 is: 784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.24 : 2,017.96 = 523.16 : x
  2. Step 2: Convert to fraction form
    1,345.24/2,017.96 = 523.16/x
  3. Step 3: Cross multiply
    1,345.24x = 2,017.96 × 523.16
  4. Step 4: Simplify right side
    1,345.24x = 1,055,715.95
  5. Step 5: Solve for x
    x = 1,055,715.95/1,345.24
  6. Step 6: Final answer
    x = 784.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.