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Finding the Fourth Proportional to 672.00, 926.74 and 423.23

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Solution

The fourth proportional to 672.00, 926.74 and 423.23 is: 583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.00 : 926.74 = 423.23 : x
  2. Step 2: Convert to fraction form
    672.00/926.74 = 423.23/x
  3. Step 3: Cross multiply
    672.00x = 926.74 × 423.23
  4. Step 4: Simplify right side
    672.00x = 392,220.07
  5. Step 5: Solve for x
    x = 392,220.07/672.00
  6. Step 6: Final answer
    x = 583.66

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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.