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Finding the Fourth Proportional to 688.08, 1,027.07 and 606.06

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Solution

The fourth proportional to 688.08, 1,027.07 and 606.06 is: 904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.08 : 1,027.07 = 606.06 : x
  2. Step 2: Convert to fraction form
    688.08/1,027.07 = 606.06/x
  3. Step 3: Cross multiply
    688.08x = 1,027.07 × 606.06
  4. Step 4: Simplify right side
    688.08x = 622,463.01
  5. Step 5: Solve for x
    x = 622,463.01/688.08
  6. Step 6: Final answer
    x = 904.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.