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Finding the Fourth Proportional to 685.38, 1,026.78 and 555.37

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Solution

The fourth proportional to 685.38, 1,026.78 and 555.37 is: 832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.38 : 1,026.78 = 555.37 : x
  2. Step 2: Convert to fraction form
    685.38/1,026.78 = 555.37/x
  3. Step 3: Cross multiply
    685.38x = 1,026.78 × 555.37
  4. Step 4: Simplify right side
    685.38x = 570,242.81
  5. Step 5: Solve for x
    x = 570,242.81/685.38
  6. Step 6: Final answer
    x = 832.01

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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.