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Finding the Fourth Proportional to 688.56, 1,028.22 and 602.16

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Solution

The fourth proportional to 688.56, 1,028.22 and 602.16 is: 899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.56 : 1,028.22 = 602.16 : x
  2. Step 2: Convert to fraction form
    688.56/1,028.22 = 602.16/x
  3. Step 3: Cross multiply
    688.56x = 1,028.22 × 602.16
  4. Step 4: Simplify right side
    688.56x = 619,152.96
  5. Step 5: Solve for x
    x = 619,152.96/688.56
  6. Step 6: Final answer
    x = 899.20

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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.