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Finding the Fourth Proportional to 977.50, 1,467.06 and 464.50

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Solution

The fourth proportional to 977.50, 1,467.06 and 464.50 is: 697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.50 : 1,467.06 = 464.50 : x
  2. Step 2: Convert to fraction form
    977.50/1,467.06 = 464.50/x
  3. Step 3: Cross multiply
    977.50x = 1,467.06 × 464.50
  4. Step 4: Simplify right side
    977.50x = 681,449.37
  5. Step 5: Solve for x
    x = 681,449.37/977.50
  6. Step 6: Final answer
    x = 697.13

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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.