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Finding the Fourth Proportional to 485.62, 726.54 and 340.36

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Solution

The fourth proportional to 485.62, 726.54 and 340.36 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.62 : 726.54 = 340.36 : x
  2. Step 2: Convert to fraction form
    485.62/726.54 = 340.36/x
  3. Step 3: Cross multiply
    485.62x = 726.54 × 340.36
  4. Step 4: Simplify right side
    485.62x = 247,285.15
  5. Step 5: Solve for x
    x = 247,285.15/485.62
  6. Step 6: Final answer
    x = 509.22

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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.