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Finding the Fourth Proportional to 645.02, 962.47 and 605.85

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Solution

The fourth proportional to 645.02, 962.47 and 605.85 is: 904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.02 : 962.47 = 605.85 : x
  2. Step 2: Convert to fraction form
    645.02/962.47 = 605.85/x
  3. Step 3: Cross multiply
    645.02x = 962.47 × 605.85
  4. Step 4: Simplify right side
    645.02x = 583,112.45
  5. Step 5: Solve for x
    x = 583,112.45/645.02
  6. Step 6: Final answer
    x = 904.02

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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.