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Finding the Fourth Proportional to 1,316.87, 1,975.64 and 392.42

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Solution

The fourth proportional to 1,316.87, 1,975.64 and 392.42 is: 588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.87 : 1,975.64 = 392.42 : x
  2. Step 2: Convert to fraction form
    1,316.87/1,975.64 = 392.42/x
  3. Step 3: Cross multiply
    1,316.87x = 1,975.64 × 392.42
  4. Step 4: Simplify right side
    1,316.87x = 775,280.65
  5. Step 5: Solve for x
    x = 775,280.65/1,316.87
  6. Step 6: Final answer
    x = 588.73

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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.