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Finding the Fourth Proportional to 985.94, 1,477.98 and 438.20

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Solution

The fourth proportional to 985.94, 1,477.98 and 438.20 is: 656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.94 : 1,477.98 = 438.20 : x
  2. Step 2: Convert to fraction form
    985.94/1,477.98 = 438.20/x
  3. Step 3: Cross multiply
    985.94x = 1,477.98 × 438.20
  4. Step 4: Simplify right side
    985.94x = 647,650.84
  5. Step 5: Solve for x
    x = 647,650.84/985.94
  6. Step 6: Final answer
    x = 656.89

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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.