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Finding the Fourth Proportional to 1,345.90, 2,018.25 and 523.96

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Solution

The fourth proportional to 1,345.90, 2,018.25 and 523.96 is: 785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.90 : 2,018.25 = 523.96 : x
  2. Step 2: Convert to fraction form
    1,345.90/2,018.25 = 523.96/x
  3. Step 3: Cross multiply
    1,345.90x = 2,018.25 × 523.96
  4. Step 4: Simplify right side
    1,345.90x = 1,057,482.27
  5. Step 5: Solve for x
    x = 1,057,482.27/1,345.90
  6. Step 6: Final answer
    x = 785.71

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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.