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Finding the Fourth Proportional to 713.93, 985.27 and 434.17

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Solution

The fourth proportional to 713.93, 985.27 and 434.17 is: 599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.93 : 985.27 = 434.17 : x
  2. Step 2: Convert to fraction form
    713.93/985.27 = 434.17/x
  3. Step 3: Cross multiply
    713.93x = 985.27 × 434.17
  4. Step 4: Simplify right side
    713.93x = 427,774.68
  5. Step 5: Solve for x
    x = 427,774.68/713.93
  6. Step 6: Final answer
    x = 599.18

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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.