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Finding the Fourth Proportional to 608.77, 840.11 and 476.14

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Solution

The fourth proportional to 608.77, 840.11 and 476.14 is: 657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.77 : 840.11 = 476.14 : x
  2. Step 2: Convert to fraction form
    608.77/840.11 = 476.14/x
  3. Step 3: Cross multiply
    608.77x = 840.11 × 476.14
  4. Step 4: Simplify right side
    608.77x = 400,009.98
  5. Step 5: Solve for x
    x = 400,009.98/608.77
  6. Step 6: Final answer
    x = 657.08

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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.