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Finding the Fourth Proportional to 641.90, 958.47 and 563.23

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Solution

The fourth proportional to 641.90, 958.47 and 563.23 is: 841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.90 : 958.47 = 563.23 : x
  2. Step 2: Convert to fraction form
    641.90/958.47 = 563.23/x
  3. Step 3: Cross multiply
    641.90x = 958.47 × 563.23
  4. Step 4: Simplify right side
    641.90x = 539,831.45
  5. Step 5: Solve for x
    x = 539,831.45/641.90
  6. Step 6: Final answer
    x = 841.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.