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Finding the Fourth Proportional to 677.95, 931.97 and 583.07

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Solution

The fourth proportional to 677.95, 931.97 and 583.07 is: 801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.95 : 931.97 = 583.07 : x
  2. Step 2: Convert to fraction form
    677.95/931.97 = 583.07/x
  3. Step 3: Cross multiply
    677.95x = 931.97 × 583.07
  4. Step 4: Simplify right side
    677.95x = 543,401.85
  5. Step 5: Solve for x
    x = 543,401.85/677.95
  6. Step 6: Final answer
    x = 801.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.