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Finding the Fourth Proportional to 698.07, 1,047.44 and 438

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Solution

The fourth proportional to 698.07, 1,047.44 and 438 is: 657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.07 : 1,047.44 = 438 : x
  2. Step 2: Convert to fraction form
    698.07/1,047.44 = 438/x
  3. Step 3: Cross multiply
    698.07x = 1,047.44 × 438
  4. Step 4: Simplify right side
    698.07x = 458,776.53
  5. Step 5: Solve for x
    x = 458,776.53/698.07
  6. Step 6: Final answer
    x = 657.21

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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.