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Finding the Fourth Proportional to 1,345.36, 2,018.08 and 523.60

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Solution

The fourth proportional to 1,345.36, 2,018.08 and 523.60 is: 785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.36 : 2,018.08 = 523.60 : x
  2. Step 2: Convert to fraction form
    1,345.36/2,018.08 = 523.60/x
  3. Step 3: Cross multiply
    1,345.36x = 2,018.08 × 523.60
  4. Step 4: Simplify right side
    1,345.36x = 1,056,666.69
  5. Step 5: Solve for x
    x = 1,056,666.69/1,345.36
  6. Step 6: Final answer
    x = 785.42

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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.