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Finding the Fourth Proportional to 434.07, 598.97 and 345.78

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Solution

The fourth proportional to 434.07, 598.97 and 345.78 is: 477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.07 : 598.97 = 345.78 : x
  2. Step 2: Convert to fraction form
    434.07/598.97 = 345.78/x
  3. Step 3: Cross multiply
    434.07x = 598.97 × 345.78
  4. Step 4: Simplify right side
    434.07x = 207,109.97
  5. Step 5: Solve for x
    x = 207,109.97/434.07
  6. Step 6: Final answer
    x = 477.13

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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.