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Finding the Fourth Proportional to 655.98, 981.81 and 583.98

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Solution

The fourth proportional to 655.98, 981.81 and 583.98 is: 874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.98 : 981.81 = 583.98 : x
  2. Step 2: Convert to fraction form
    655.98/981.81 = 583.98/x
  3. Step 3: Cross multiply
    655.98x = 981.81 × 583.98
  4. Step 4: Simplify right side
    655.98x = 573,357.40
  5. Step 5: Solve for x
    x = 573,357.40/655.98
  6. Step 6: Final answer
    x = 874.05

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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.