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Finding the Fourth Proportional to 700.98, 1,051.40 and 426.98

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Solution

The fourth proportional to 700.98, 1,051.40 and 426.98 is: 640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.98 : 1,051.40 = 426.98 : x
  2. Step 2: Convert to fraction form
    700.98/1,051.40 = 426.98/x
  3. Step 3: Cross multiply
    700.98x = 1,051.40 × 426.98
  4. Step 4: Simplify right side
    700.98x = 448,926.77
  5. Step 5: Solve for x
    x = 448,926.77/700.98
  6. Step 6: Final answer
    x = 640.43

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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.