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Finding the Fourth Proportional to 1,345.31, 2,017.51 and 523.82

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Solution

The fourth proportional to 1,345.31, 2,017.51 and 523.82 is: 785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.31 : 2,017.51 = 523.82 : x
  2. Step 2: Convert to fraction form
    1,345.31/2,017.51 = 523.82/x
  3. Step 3: Cross multiply
    1,345.31x = 2,017.51 × 523.82
  4. Step 4: Simplify right side
    1,345.31x = 1,056,804.47
  5. Step 5: Solve for x
    x = 1,056,804.47/1,345.31
  6. Step 6: Final answer
    x = 785.55

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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.