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Finding the Fourth Proportional to 602.56, 904.18 and 597.97

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Solution

The fourth proportional to 602.56, 904.18 and 597.97 is: 897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 904.18 = 597.97 : x
  2. Step 2: Convert to fraction form
    602.56/904.18 = 597.97/x
  3. Step 3: Cross multiply
    602.56x = 904.18 × 597.97
  4. Step 4: Simplify right side
    602.56x = 540,676.27
  5. Step 5: Solve for x
    x = 540,676.27/602.56
  6. Step 6: Final answer
    x = 897.29

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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.