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Finding the Fourth Proportional to 983.96, 1,477.29 and 617.66

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Solution

The fourth proportional to 983.96, 1,477.29 and 617.66 is: 927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.96 : 1,477.29 = 617.66 : x
  2. Step 2: Convert to fraction form
    983.96/1,477.29 = 617.66/x
  3. Step 3: Cross multiply
    983.96x = 1,477.29 × 617.66
  4. Step 4: Simplify right side
    983.96x = 912,462.94
  5. Step 5: Solve for x
    x = 912,462.94/983.96
  6. Step 6: Final answer
    x = 927.34

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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.