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Finding the Fourth Proportional to 599.14, 826.72 and 347.07

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Solution

The fourth proportional to 599.14, 826.72 and 347.07 is: 478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.14 : 826.72 = 347.07 : x
  2. Step 2: Convert to fraction form
    599.14/826.72 = 347.07/x
  3. Step 3: Cross multiply
    599.14x = 826.72 × 347.07
  4. Step 4: Simplify right side
    599.14x = 286,929.71
  5. Step 5: Solve for x
    x = 286,929.71/599.14
  6. Step 6: Final answer
    x = 478.90

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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.