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Finding the Fourth Proportional to 698.15, 1,048.18 and 452.89

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Solution

The fourth proportional to 698.15, 1,048.18 and 452.89 is: 679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.15 : 1,048.18 = 452.89 : x
  2. Step 2: Convert to fraction form
    698.15/1,048.18 = 452.89/x
  3. Step 3: Cross multiply
    698.15x = 1,048.18 × 452.89
  4. Step 4: Simplify right side
    698.15x = 474,705.00
  5. Step 5: Solve for x
    x = 474,705.00/698.15
  6. Step 6: Final answer
    x = 679.95

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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.