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Finding the Fourth Proportional to 977.07, 1,467.87 and 612.12

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Solution

The fourth proportional to 977.07, 1,467.87 and 612.12 is: 919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.07 : 1,467.87 = 612.12 : x
  2. Step 2: Convert to fraction form
    977.07/1,467.87 = 612.12/x
  3. Step 3: Cross multiply
    977.07x = 1,467.87 × 612.12
  4. Step 4: Simplify right side
    977.07x = 898,512.58
  5. Step 5: Solve for x
    x = 898,512.58/977.07
  6. Step 6: Final answer
    x = 919.60

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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.