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Finding the Fourth Proportional to 697.60, 1,046.54 and 350.65

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Solution

The fourth proportional to 697.60, 1,046.54 and 350.65 is: 526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.60 : 1,046.54 = 350.65 : x
  2. Step 2: Convert to fraction form
    697.60/1,046.54 = 350.65/x
  3. Step 3: Cross multiply
    697.60x = 1,046.54 × 350.65
  4. Step 4: Simplify right side
    697.60x = 366,969.25
  5. Step 5: Solve for x
    x = 366,969.25/697.60
  6. Step 6: Final answer
    x = 526.05

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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.