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Finding the Fourth Proportional to 852.21, 1,278.35 and 390.01

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Solution

The fourth proportional to 852.21, 1,278.35 and 390.01 is: 585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.21 : 1,278.35 = 390.01 : x
  2. Step 2: Convert to fraction form
    852.21/1,278.35 = 390.01/x
  3. Step 3: Cross multiply
    852.21x = 1,278.35 × 390.01
  4. Step 4: Simplify right side
    852.21x = 498,569.28
  5. Step 5: Solve for x
    x = 498,569.28/852.21
  6. Step 6: Final answer
    x = 585.03

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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.