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Finding the Fourth Proportional to 579.46, 799.65 and 317.50

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Solution

The fourth proportional to 579.46, 799.65 and 317.50 is: 438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.46 : 799.65 = 317.50 : x
  2. Step 2: Convert to fraction form
    579.46/799.65 = 317.50/x
  3. Step 3: Cross multiply
    579.46x = 799.65 × 317.50
  4. Step 4: Simplify right side
    579.46x = 253,888.07
  5. Step 5: Solve for x
    x = 253,888.07/579.46
  6. Step 6: Final answer
    x = 438.15

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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.