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Finding the Fourth Proportional to 685.54, 1,026.06 and 619.90

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Solution

The fourth proportional to 685.54, 1,026.06 and 619.90 is: 927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.54 : 1,026.06 = 619.90 : x
  2. Step 2: Convert to fraction form
    685.54/1,026.06 = 619.90/x
  3. Step 3: Cross multiply
    685.54x = 1,026.06 × 619.90
  4. Step 4: Simplify right side
    685.54x = 636,054.59
  5. Step 5: Solve for x
    x = 636,054.59/685.54
  6. Step 6: Final answer
    x = 927.82

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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.