Home / 1,345.35-2,014.01-823.71

Finding the Fourth Proportional to 1,345.35, 2,014.01 and 823.71

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Solution

The fourth proportional to 1,345.35, 2,014.01 and 823.71 is: 1,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.35 : 2,014.01 = 823.71 : x
  2. Step 2: Convert to fraction form
    1,345.35/2,014.01 = 823.71/x
  3. Step 3: Cross multiply
    1,345.35x = 2,014.01 × 823.71
  4. Step 4: Simplify right side
    1,345.35x = 1,658,956.06
  5. Step 5: Solve for x
    x = 1,658,956.06/1,345.35
  6. Step 6: Final answer
    x = 1,233.10

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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.