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Finding the Fourth Proportional to 608.34, 917.91 and 585.86

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Solution

The fourth proportional to 608.34, 917.91 and 585.86 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.34 : 917.91 = 585.86 : x
  2. Step 2: Convert to fraction form
    608.34/917.91 = 585.86/x
  3. Step 3: Cross multiply
    608.34x = 917.91 × 585.86
  4. Step 4: Simplify right side
    608.34x = 537,766.75
  5. Step 5: Solve for x
    x = 537,766.75/608.34
  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.