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Finding the Fourth Proportional to 614.54, 917.31 and 541.64

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Solution

The fourth proportional to 614.54, 917.31 and 541.64 is: 808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.54 : 917.31 = 541.64 : x
  2. Step 2: Convert to fraction form
    614.54/917.31 = 541.64/x
  3. Step 3: Cross multiply
    614.54x = 917.31 × 541.64
  4. Step 4: Simplify right side
    614.54x = 496,851.79
  5. Step 5: Solve for x
    x = 496,851.79/614.54
  6. Step 6: Final answer
    x = 808.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.