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Finding the Fourth Proportional to 434.52, 602.73 and 423.72

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Solution

The fourth proportional to 434.52, 602.73 and 423.72 is: 587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.52 : 602.73 = 423.72 : x
  2. Step 2: Convert to fraction form
    434.52/602.73 = 423.72/x
  3. Step 3: Cross multiply
    434.52x = 602.73 × 423.72
  4. Step 4: Simplify right side
    434.52x = 255,388.76
  5. Step 5: Solve for x
    x = 255,388.76/434.52
  6. Step 6: Final answer
    x = 587.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.