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Finding the Fourth Proportional to 434.83, 597.02 and 423.55

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Solution

The fourth proportional to 434.83, 597.02 and 423.55 is: 581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.83 : 597.02 = 423.55 : x
  2. Step 2: Convert to fraction form
    434.83/597.02 = 423.55/x
  3. Step 3: Cross multiply
    434.83x = 597.02 × 423.55
  4. Step 4: Simplify right side
    434.83x = 252,867.82
  5. Step 5: Solve for x
    x = 252,867.82/434.83
  6. Step 6: Final answer
    x = 581.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.