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Finding the Fourth Proportional to 1,356.87, 2,033.70 and 523.38

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Solution

The fourth proportional to 1,356.87, 2,033.70 and 523.38 is: 784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.87 : 2,033.70 = 523.38 : x
  2. Step 2: Convert to fraction form
    1,356.87/2,033.70 = 523.38/x
  3. Step 3: Cross multiply
    1,356.87x = 2,033.70 × 523.38
  4. Step 4: Simplify right side
    1,356.87x = 1,064,397.91
  5. Step 5: Solve for x
    x = 1,064,397.91/1,356.87
  6. Step 6: Final answer
    x = 784.45

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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.