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Finding the Fourth Proportional to 913.71, 1,260.72 and 582.01

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Solution

The fourth proportional to 913.71, 1,260.72 and 582.01 is: 803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.71 : 1,260.72 = 582.01 : x
  2. Step 2: Convert to fraction form
    913.71/1,260.72 = 582.01/x
  3. Step 3: Cross multiply
    913.71x = 1,260.72 × 582.01
  4. Step 4: Simplify right side
    913.71x = 733,751.65
  5. Step 5: Solve for x
    x = 733,751.65/913.71
  6. Step 6: Final answer
    x = 803.05

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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.