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Finding the Fourth Proportional to 602.70, 897.83 and 588.30

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Solution

The fourth proportional to 602.70, 897.83 and 588.30 is: 876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.70 : 897.83 = 588.30 : x
  2. Step 2: Convert to fraction form
    602.70/897.83 = 588.30/x
  3. Step 3: Cross multiply
    602.70x = 897.83 × 588.30
  4. Step 4: Simplify right side
    602.70x = 528,190.45
  5. Step 5: Solve for x
    x = 528,190.45/602.70
  6. Step 6: Final answer
    x = 876.37

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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.