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Finding the Fourth Proportional to 671.62, 1,004.01 and 602.05

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Solution

The fourth proportional to 671.62, 1,004.01 and 602.05 is: 900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.62 : 1,004.01 = 602.05 : x
  2. Step 2: Convert to fraction form
    671.62/1,004.01 = 602.05/x
  3. Step 3: Cross multiply
    671.62x = 1,004.01 × 602.05
  4. Step 4: Simplify right side
    671.62x = 604,464.22
  5. Step 5: Solve for x
    x = 604,464.22/671.62
  6. Step 6: Final answer
    x = 900.01

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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.