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Finding the Fourth Proportional to 798.90, 1,199.03 and 312.30

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Solution

The fourth proportional to 798.90, 1,199.03 and 312.30 is: 468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.90 : 1,199.03 = 312.30 : x
  2. Step 2: Convert to fraction form
    798.90/1,199.03 = 312.30/x
  3. Step 3: Cross multiply
    798.90x = 1,199.03 × 312.30
  4. Step 4: Simplify right side
    798.90x = 374,455.51
  5. Step 5: Solve for x
    x = 374,455.51/798.90
  6. Step 6: Final answer
    x = 468.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.