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Finding the Fourth Proportional to 698.56, 962.82 and 477.12

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Solution

The fourth proportional to 698.56, 962.82 and 477.12 is: 657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.56 : 962.82 = 477.12 : x
  2. Step 2: Convert to fraction form
    698.56/962.82 = 477.12/x
  3. Step 3: Cross multiply
    698.56x = 962.82 × 477.12
  4. Step 4: Simplify right side
    698.56x = 459,384.29
  5. Step 5: Solve for x
    x = 459,384.29/698.56
  6. Step 6: Final answer
    x = 657.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.