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Finding the Fourth Proportional to 605.95, 830.74 and 595.01

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Solution

The fourth proportional to 605.95, 830.74 and 595.01 is: 815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.95 : 830.74 = 595.01 : x
  2. Step 2: Convert to fraction form
    605.95/830.74 = 595.01/x
  3. Step 3: Cross multiply
    605.95x = 830.74 × 595.01
  4. Step 4: Simplify right side
    605.95x = 494,298.61
  5. Step 5: Solve for x
    x = 494,298.61/605.95
  6. Step 6: Final answer
    x = 815.75

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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.