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Finding the Fourth Proportional to 975.78, 1,346.40 and 582.71

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Solution

The fourth proportional to 975.78, 1,346.40 and 582.71 is: 804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.78 : 1,346.40 = 582.71 : x
  2. Step 2: Convert to fraction form
    975.78/1,346.40 = 582.71/x
  3. Step 3: Cross multiply
    975.78x = 1,346.40 × 582.71
  4. Step 4: Simplify right side
    975.78x = 784,554.01
  5. Step 5: Solve for x
    x = 784,554.01/975.78
  6. Step 6: Final answer
    x = 804.03

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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.