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Finding the Fourth Proportional to 698.37, 964.29 and 489.06

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Solution

The fourth proportional to 698.37, 964.29 and 489.06 is: 675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.37 : 964.29 = 489.06 : x
  2. Step 2: Convert to fraction form
    698.37/964.29 = 489.06/x
  3. Step 3: Cross multiply
    698.37x = 964.29 × 489.06
  4. Step 4: Simplify right side
    698.37x = 471,595.67
  5. Step 5: Solve for x
    x = 471,595.67/698.37
  6. Step 6: Final answer
    x = 675.28

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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.