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Finding the Fourth Proportional to 602.96, 904.72 and 314.48

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Solution

The fourth proportional to 602.96, 904.72 and 314.48 is: 471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.96 : 904.72 = 314.48 : x
  2. Step 2: Convert to fraction form
    602.96/904.72 = 314.48/x
  3. Step 3: Cross multiply
    602.96x = 904.72 × 314.48
  4. Step 4: Simplify right side
    602.96x = 284,516.35
  5. Step 5: Solve for x
    x = 284,516.35/602.96
  6. Step 6: Final answer
    x = 471.87

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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.