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Finding the Fourth Proportional to 698.67, 962.42 and 653.31

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Solution

The fourth proportional to 698.67, 962.42 and 653.31 is: 899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.67 : 962.42 = 653.31 : x
  2. Step 2: Convert to fraction form
    698.67/962.42 = 653.31/x
  3. Step 3: Cross multiply
    698.67x = 962.42 × 653.31
  4. Step 4: Simplify right side
    698.67x = 628,755.34
  5. Step 5: Solve for x
    x = 628,755.34/698.67
  6. Step 6: Final answer
    x = 899.93

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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.