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Finding the Fourth Proportional to 698.02, 962.75 and 449.59

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Solution

The fourth proportional to 698.02, 962.75 and 449.59 is: 620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.02 : 962.75 = 449.59 : x
  2. Step 2: Convert to fraction form
    698.02/962.75 = 449.59/x
  3. Step 3: Cross multiply
    698.02x = 962.75 × 449.59
  4. Step 4: Simplify right side
    698.02x = 432,837.96
  5. Step 5: Solve for x
    x = 432,837.96/698.02
  6. Step 6: Final answer
    x = 620.10

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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.