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Finding the Fourth Proportional to 697.96, 1,048.86 and 424.84

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Solution

The fourth proportional to 697.96, 1,048.86 and 424.84 is: 638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.96 : 1,048.86 = 424.84 : x
  2. Step 2: Convert to fraction form
    697.96/1,048.86 = 424.84/x
  3. Step 3: Cross multiply
    697.96x = 1,048.86 × 424.84
  4. Step 4: Simplify right side
    697.96x = 445,597.68
  5. Step 5: Solve for x
    x = 445,597.68/697.96
  6. Step 6: Final answer
    x = 638.43

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1.5x scale

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.