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Finding the Fourth Proportional to 602.96, 904.89 and 397.46

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Solution

The fourth proportional to 602.96, 904.89 and 397.46 is: 596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.96 : 904.89 = 397.46 : x
  2. Step 2: Convert to fraction form
    602.96/904.89 = 397.46/x
  3. Step 3: Cross multiply
    602.96x = 904.89 × 397.46
  4. Step 4: Simplify right side
    602.96x = 359,653.05
  5. Step 5: Solve for x
    x = 359,653.05/602.96
  6. Step 6: Final answer
    x = 596.48

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1.5x scale

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.