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Finding the Fourth Proportional to 1,563.39, 2,345.02 and 638.69

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Solution

The fourth proportional to 1,563.39, 2,345.02 and 638.69 is: 958.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.39 : 2,345.02 = 638.69 : x
  2. Step 2: Convert to fraction form
    1,563.39/2,345.02 = 638.69/x
  3. Step 3: Cross multiply
    1,563.39x = 2,345.02 × 638.69
  4. Step 4: Simplify right side
    1,563.39x = 1,497,727.50
  5. Step 5: Solve for x
    x = 1,497,727.50/1,563.39
  6. Step 6: Final answer
    x = 958.00

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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.