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Finding the Fourth Proportional to 605.48, 913.31 and 586.04

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Solution

The fourth proportional to 605.48, 913.31 and 586.04 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.48 : 913.31 = 586.04 : x
  2. Step 2: Convert to fraction form
    605.48/913.31 = 586.04/x
  3. Step 3: Cross multiply
    605.48x = 913.31 × 586.04
  4. Step 4: Simplify right side
    605.48x = 535,236.19
  5. Step 5: Solve for x
    x = 535,236.19/605.48
  6. Step 6: Final answer
    x = 883.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.