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Finding the Fourth Proportional to 1,658.99, 2,289.06 and 987.03

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Solution

The fourth proportional to 1,658.99, 2,289.06 and 987.03 is: 1,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.99 : 2,289.06 = 987.03 : x
  2. Step 2: Convert to fraction form
    1,658.99/2,289.06 = 987.03/x
  3. Step 3: Cross multiply
    1,658.99x = 2,289.06 × 987.03
  4. Step 4: Simplify right side
    1,658.99x = 2,259,370.89
  5. Step 5: Solve for x
    x = 2,259,370.89/1,658.99
  6. Step 6: Final answer
    x = 1,361.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.