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Finding the Fourth Proportional to 1,563.47, 2,345.61 and 639.66

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Solution

The fourth proportional to 1,563.47, 2,345.61 and 639.66 is: 959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.47 : 2,345.61 = 639.66 : x
  2. Step 2: Convert to fraction form
    1,563.47/2,345.61 = 639.66/x
  3. Step 3: Cross multiply
    1,563.47x = 2,345.61 × 639.66
  4. Step 4: Simplify right side
    1,563.47x = 1,500,404.09
  5. Step 5: Solve for x
    x = 1,500,404.09/1,563.47
  6. Step 6: Final answer
    x = 959.66

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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.