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Finding the Fourth Proportional to 880.57, 1,318.78 and 698.07

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Solution

The fourth proportional to 880.57, 1,318.78 and 698.07 is: 1,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.57 : 1,318.78 = 698.07 : x
  2. Step 2: Convert to fraction form
    880.57/1,318.78 = 698.07/x
  3. Step 3: Cross multiply
    880.57x = 1,318.78 × 698.07
  4. Step 4: Simplify right side
    880.57x = 920,599.15
  5. Step 5: Solve for x
    x = 920,599.15/880.57
  6. Step 6: Final answer
    x = 1,045.46

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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.