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Finding the Fourth Proportional to 641.70, 957.91 and 563.86

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Solution

The fourth proportional to 641.70, 957.91 and 563.86 is: 841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.70 : 957.91 = 563.86 : x
  2. Step 2: Convert to fraction form
    641.70/957.91 = 563.86/x
  3. Step 3: Cross multiply
    641.70x = 957.91 × 563.86
  4. Step 4: Simplify right side
    641.70x = 540,125.23
  5. Step 5: Solve for x
    x = 540,125.23/641.70
  6. Step 6: Final answer
    x = 841.70

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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.