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Finding the Fourth Proportional to 985.50, 1,477.20 and 438.06

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Solution

The fourth proportional to 985.50, 1,477.20 and 438.06 is: 656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.50 : 1,477.20 = 438.06 : x
  2. Step 2: Convert to fraction form
    985.50/1,477.20 = 438.06/x
  3. Step 3: Cross multiply
    985.50x = 1,477.20 × 438.06
  4. Step 4: Simplify right side
    985.50x = 647,102.23
  5. Step 5: Solve for x
    x = 647,102.23/985.50
  6. Step 6: Final answer
    x = 656.62

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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.