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Finding the Fourth Proportional to 643.50, 967.05 and 602.01

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Solution

The fourth proportional to 643.50, 967.05 and 602.01 is: 904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.50 : 967.05 = 602.01 : x
  2. Step 2: Convert to fraction form
    643.50/967.05 = 602.01/x
  3. Step 3: Cross multiply
    643.50x = 967.05 × 602.01
  4. Step 4: Simplify right side
    643.50x = 582,173.77
  5. Step 5: Solve for x
    x = 582,173.77/643.50
  6. Step 6: Final answer
    x = 904.70

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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.