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Finding the Fourth Proportional to 984.63, 1,477.07 and 291.34

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Solution

The fourth proportional to 984.63, 1,477.07 and 291.34 is: 437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.63 : 1,477.07 = 291.34 : x
  2. Step 2: Convert to fraction form
    984.63/1,477.07 = 291.34/x
  3. Step 3: Cross multiply
    984.63x = 1,477.07 × 291.34
  4. Step 4: Simplify right side
    984.63x = 430,331.06
  5. Step 5: Solve for x
    x = 430,331.06/984.63
  6. Step 6: Final answer
    x = 437.05

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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.