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Finding the Fourth Proportional to 697.84, 1,045.80 and 350.84

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Solution

The fourth proportional to 697.84, 1,045.80 and 350.84 is: 525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.84 : 1,045.80 = 350.84 : x
  2. Step 2: Convert to fraction form
    697.84/1,045.80 = 350.84/x
  3. Step 3: Cross multiply
    697.84x = 1,045.80 × 350.84
  4. Step 4: Simplify right side
    697.84x = 366,908.47
  5. Step 5: Solve for x
    x = 366,908.47/697.84
  6. Step 6: Final answer
    x = 525.78

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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.