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Finding the Fourth Proportional to 914.45, 1,370.85 and 605.66

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Solution

The fourth proportional to 914.45, 1,370.85 and 605.66 is: 907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.45 : 1,370.85 = 605.66 : x
  2. Step 2: Convert to fraction form
    914.45/1,370.85 = 605.66/x
  3. Step 3: Cross multiply
    914.45x = 1,370.85 × 605.66
  4. Step 4: Simplify right side
    914.45x = 830,262.16
  5. Step 5: Solve for x
    x = 830,262.16/914.45
  6. Step 6: Final answer
    x = 907.94

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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.