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Finding the Fourth Proportional to 1,329.79, 1,994.36 and 588.99

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Solution

The fourth proportional to 1,329.79, 1,994.36 and 588.99 is: 883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.79 : 1,994.36 = 588.99 : x
  2. Step 2: Convert to fraction form
    1,329.79/1,994.36 = 588.99/x
  3. Step 3: Cross multiply
    1,329.79x = 1,994.36 × 588.99
  4. Step 4: Simplify right side
    1,329.79x = 1,174,656.59
  5. Step 5: Solve for x
    x = 1,174,656.59/1,329.79
  6. Step 6: Final answer
    x = 883.34

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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.