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Finding the Fourth Proportional to 601.30, 901.12 and 312.94

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Solution

The fourth proportional to 601.30, 901.12 and 312.94 is: 468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.30 : 901.12 = 312.94 : x
  2. Step 2: Convert to fraction form
    601.30/901.12 = 312.94/x
  3. Step 3: Cross multiply
    601.30x = 901.12 × 312.94
  4. Step 4: Simplify right side
    601.30x = 281,996.49
  5. Step 5: Solve for x
    x = 281,996.49/601.30
  6. Step 6: Final answer
    x = 468.98

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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.