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Finding the Fourth Proportional to 608.15, 840.08 and 585.67

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Solution

The fourth proportional to 608.15, 840.08 and 585.67 is: 809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.15 : 840.08 = 585.67 : x
  2. Step 2: Convert to fraction form
    608.15/840.08 = 585.67/x
  3. Step 3: Cross multiply
    608.15x = 840.08 × 585.67
  4. Step 4: Simplify right side
    608.15x = 492,009.02
  5. Step 5: Solve for x
    x = 492,009.02/608.15
  6. Step 6: Final answer
    x = 809.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.