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Finding the Fourth Proportional to 1,145.94, 1,717.65 and 659.10

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Solution

The fourth proportional to 1,145.94, 1,717.65 and 659.10 is: 987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.94 : 1,717.65 = 659.10 : x
  2. Step 2: Convert to fraction form
    1,145.94/1,717.65 = 659.10/x
  3. Step 3: Cross multiply
    1,145.94x = 1,717.65 × 659.10
  4. Step 4: Simplify right side
    1,145.94x = 1,132,103.12
  5. Step 5: Solve for x
    x = 1,132,103.12/1,145.94
  6. Step 6: Final answer
    x = 987.93

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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.