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Finding the Fourth Proportional to 614.54, 921.21 and 340.06

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Solution

The fourth proportional to 614.54, 921.21 and 340.06 is: 509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.54 : 921.21 = 340.06 : x
  2. Step 2: Convert to fraction form
    614.54/921.21 = 340.06/x
  3. Step 3: Cross multiply
    614.54x = 921.21 × 340.06
  4. Step 4: Simplify right side
    614.54x = 313,264.37
  5. Step 5: Solve for x
    x = 313,264.37/614.54
  6. Step 6: Final answer
    x = 509.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.