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Finding the Fourth Proportional to 688.36, 1,033.80 and 602.32

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Solution

The fourth proportional to 688.36, 1,033.80 and 602.32 is: 904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.36 : 1,033.80 = 602.32 : x
  2. Step 2: Convert to fraction form
    688.36/1,033.80 = 602.32/x
  3. Step 3: Cross multiply
    688.36x = 1,033.80 × 602.32
  4. Step 4: Simplify right side
    688.36x = 622,678.42
  5. Step 5: Solve for x
    x = 622,678.42/688.36
  6. Step 6: Final answer
    x = 904.58

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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.