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Finding the Fourth Proportional to 434.67, 598.29 and 376.35

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Solution

The fourth proportional to 434.67, 598.29 and 376.35 is: 518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.67 : 598.29 = 376.35 : x
  2. Step 2: Convert to fraction form
    434.67/598.29 = 376.35/x
  3. Step 3: Cross multiply
    434.67x = 598.29 × 376.35
  4. Step 4: Simplify right side
    434.67x = 225,162.79
  5. Step 5: Solve for x
    x = 225,162.79/434.67
  6. Step 6: Final answer
    x = 518.01

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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.