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Finding the Fourth Proportional to 698.30, 1,042.14 and 670.04

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Solution

The fourth proportional to 698.30, 1,042.14 and 670.04 is: 999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.30 : 1,042.14 = 670.04 : x
  2. Step 2: Convert to fraction form
    698.30/1,042.14 = 670.04/x
  3. Step 3: Cross multiply
    698.30x = 1,042.14 × 670.04
  4. Step 4: Simplify right side
    698.30x = 698,270.27
  5. Step 5: Solve for x
    x = 698,270.27/698.30
  6. Step 6: Final answer
    x = 999.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.