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Finding the Fourth Proportional to 641.56, 962.62 and 477.40

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Solution

The fourth proportional to 641.56, 962.62 and 477.40 is: 716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.56 : 962.62 = 477.40 : x
  2. Step 2: Convert to fraction form
    641.56/962.62 = 477.40/x
  3. Step 3: Cross multiply
    641.56x = 962.62 × 477.40
  4. Step 4: Simplify right side
    641.56x = 459,554.79
  5. Step 5: Solve for x
    x = 459,554.79/641.56
  6. Step 6: Final answer
    x = 716.31

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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.