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Finding the Fourth Proportional to 713.75, 985.06 and 434.08

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Solution

The fourth proportional to 713.75, 985.06 and 434.08 is: 599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.75 : 985.06 = 434.08 : x
  2. Step 2: Convert to fraction form
    713.75/985.06 = 434.08/x
  3. Step 3: Cross multiply
    713.75x = 985.06 × 434.08
  4. Step 4: Simplify right side
    713.75x = 427,588.64
  5. Step 5: Solve for x
    x = 427,588.64/713.75
  6. Step 6: Final answer
    x = 599.08

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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.