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Finding the Fourth Proportional to 846.50, 1,270.01 and 384.35

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Solution

The fourth proportional to 846.50, 1,270.01 and 384.35 is: 576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.50 : 1,270.01 = 384.35 : x
  2. Step 2: Convert to fraction form
    846.50/1,270.01 = 384.35/x
  3. Step 3: Cross multiply
    846.50x = 1,270.01 × 384.35
  4. Step 4: Simplify right side
    846.50x = 488,120.07
  5. Step 5: Solve for x
    x = 488,120.07/846.50
  6. Step 6: Final answer
    x = 576.64

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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.