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Finding the Fourth Proportional to 1,014.40, 1,400.70 and 641.98

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Solution

The fourth proportional to 1,014.40, 1,400.70 and 641.98 is: 886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.40 : 1,400.70 = 641.98 : x
  2. Step 2: Convert to fraction form
    1,014.40/1,400.70 = 641.98/x
  3. Step 3: Cross multiply
    1,014.40x = 1,400.70 × 641.98
  4. Step 4: Simplify right side
    1,014.40x = 899,221.39
  5. Step 5: Solve for x
    x = 899,221.39/1,014.40
  6. Step 6: Final answer
    x = 886.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.