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Finding the Fourth Proportional to 696.90, 1,046.32 and 559.51

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Solution

The fourth proportional to 696.90, 1,046.32 and 559.51 is: 840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.90 : 1,046.32 = 559.51 : x
  2. Step 2: Convert to fraction form
    696.90/1,046.32 = 559.51/x
  3. Step 3: Cross multiply
    696.90x = 1,046.32 × 559.51
  4. Step 4: Simplify right side
    696.90x = 585,422.49
  5. Step 5: Solve for x
    x = 585,422.49/696.90
  6. Step 6: Final answer
    x = 840.03

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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.