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Finding the Fourth Proportional to 434.79, 598.32 and 385.11

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Solution

The fourth proportional to 434.79, 598.32 and 385.11 is: 529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.79 : 598.32 = 385.11 : x
  2. Step 2: Convert to fraction form
    434.79/598.32 = 385.11/x
  3. Step 3: Cross multiply
    434.79x = 598.32 × 385.11
  4. Step 4: Simplify right side
    434.79x = 230,419.02
  5. Step 5: Solve for x
    x = 230,419.02/434.79
  6. Step 6: Final answer
    x = 529.95

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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.