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Finding the Fourth Proportional to 851.51, 1,276.86 and 389.41

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Solution

The fourth proportional to 851.51, 1,276.86 and 389.41 is: 583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.51 : 1,276.86 = 389.41 : x
  2. Step 2: Convert to fraction form
    851.51/1,276.86 = 389.41/x
  3. Step 3: Cross multiply
    851.51x = 1,276.86 × 389.41
  4. Step 4: Simplify right side
    851.51x = 497,220.32
  5. Step 5: Solve for x
    x = 497,220.32/851.51
  6. Step 6: Final answer
    x = 583.93

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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.