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Finding the Fourth Proportional to 431.54, 598.04 and 423.33

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Solution

The fourth proportional to 431.54, 598.04 and 423.33 is: 586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.54 : 598.04 = 423.33 : x
  2. Step 2: Convert to fraction form
    431.54/598.04 = 423.33/x
  3. Step 3: Cross multiply
    431.54x = 598.04 × 423.33
  4. Step 4: Simplify right side
    431.54x = 253,166.16
  5. Step 5: Solve for x
    x = 253,166.16/431.54
  6. Step 6: Final answer
    x = 586.66

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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.