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Finding the Fourth Proportional to 601.10, 902.73 and 312.74

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Solution

The fourth proportional to 601.10, 902.73 and 312.74 is: 469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.10 : 902.73 = 312.74 : x
  2. Step 2: Convert to fraction form
    601.10/902.73 = 312.74/x
  3. Step 3: Cross multiply
    601.10x = 902.73 × 312.74
  4. Step 4: Simplify right side
    601.10x = 282,319.78
  5. Step 5: Solve for x
    x = 282,319.78/601.10
  6. Step 6: Final answer
    x = 469.67

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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.