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Finding the Fourth Proportional to 614.07, 847.77 and 448.65

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Solution

The fourth proportional to 614.07, 847.77 and 448.65 is: 619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.07 : 847.77 = 448.65 : x
  2. Step 2: Convert to fraction form
    614.07/847.77 = 448.65/x
  3. Step 3: Cross multiply
    614.07x = 847.77 × 448.65
  4. Step 4: Simplify right side
    614.07x = 380,352.01
  5. Step 5: Solve for x
    x = 380,352.01/614.07
  6. Step 6: Final answer
    x = 619.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.