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Finding the Fourth Proportional to 1,282.99, 1,923.57 and 658.47

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Solution

The fourth proportional to 1,282.99, 1,923.57 and 658.47 is: 987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.99 : 1,923.57 = 658.47 : x
  2. Step 2: Convert to fraction form
    1,282.99/1,923.57 = 658.47/x
  3. Step 3: Cross multiply
    1,282.99x = 1,923.57 × 658.47
  4. Step 4: Simplify right side
    1,282.99x = 1,266,609.85
  5. Step 5: Solve for x
    x = 1,266,609.85/1,282.99
  6. Step 6: Final answer
    x = 987.24

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1.5x scale

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.