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Finding the Fourth Proportional to 697.87, 1,045.43 and 350.18

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Solution

The fourth proportional to 697.87, 1,045.43 and 350.18 is: 524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.87 : 1,045.43 = 350.18 : x
  2. Step 2: Convert to fraction form
    697.87/1,045.43 = 350.18/x
  3. Step 3: Cross multiply
    697.87x = 1,045.43 × 350.18
  4. Step 4: Simplify right side
    697.87x = 366,088.68
  5. Step 5: Solve for x
    x = 366,088.68/697.87
  6. Step 6: Final answer
    x = 524.58

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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.