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Finding the Fourth Proportional to 485.19, 726.98 and 369.77

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Solution

The fourth proportional to 485.19, 726.98 and 369.77 is: 554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.19 : 726.98 = 369.77 : x
  2. Step 2: Convert to fraction form
    485.19/726.98 = 369.77/x
  3. Step 3: Cross multiply
    485.19x = 726.98 × 369.77
  4. Step 4: Simplify right side
    485.19x = 268,809.91
  5. Step 5: Solve for x
    x = 268,809.91/485.19
  6. Step 6: Final answer
    x = 554.03

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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.