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Finding the Fourth Proportional to 880.02, 1,317.78 and 698.58

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Solution

The fourth proportional to 880.02, 1,317.78 and 698.58 is: 1,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.02 : 1,317.78 = 698.58 : x
  2. Step 2: Convert to fraction form
    880.02/1,317.78 = 698.58/x
  3. Step 3: Cross multiply
    880.02x = 1,317.78 × 698.58
  4. Step 4: Simplify right side
    880.02x = 920,574.75
  5. Step 5: Solve for x
    x = 920,574.75/880.02
  6. Step 6: Final answer
    x = 1,046.08

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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.