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Finding the Fourth Proportional to 852.10, 1,277.50 and 390.01

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Solution

The fourth proportional to 852.10, 1,277.50 and 390.01 is: 584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.10 : 1,277.50 = 390.01 : x
  2. Step 2: Convert to fraction form
    852.10/1,277.50 = 390.01/x
  3. Step 3: Cross multiply
    852.10x = 1,277.50 × 390.01
  4. Step 4: Simplify right side
    852.10x = 498,237.78
  5. Step 5: Solve for x
    x = 498,237.78/852.10
  6. Step 6: Final answer
    x = 584.72

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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.