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Finding the Fourth Proportional to 612.12, 845.08 and 402.67

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Solution

The fourth proportional to 612.12, 845.08 and 402.67 is: 555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.12 : 845.08 = 402.67 : x
  2. Step 2: Convert to fraction form
    612.12/845.08 = 402.67/x
  3. Step 3: Cross multiply
    612.12x = 845.08 × 402.67
  4. Step 4: Simplify right side
    612.12x = 340,284.14
  5. Step 5: Solve for x
    x = 340,284.14/612.12
  6. Step 6: Final answer
    x = 555.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.