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Finding the Fourth Proportional to 434.32, 598.46 and 433.51

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Solution

The fourth proportional to 434.32, 598.46 and 433.51 is: 597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.32 : 598.46 = 433.51 : x
  2. Step 2: Convert to fraction form
    434.32/598.46 = 433.51/x
  3. Step 3: Cross multiply
    434.32x = 598.46 × 433.51
  4. Step 4: Simplify right side
    434.32x = 259,434.73
  5. Step 5: Solve for x
    x = 259,434.73/434.32
  6. Step 6: Final answer
    x = 597.34

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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.