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Finding the Fourth Proportional to 614.77, 849.12 and 448.72

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Solution

The fourth proportional to 614.77, 849.12 and 448.72 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.77 : 849.12 = 448.72 : x
  2. Step 2: Convert to fraction form
    614.77/849.12 = 448.72/x
  3. Step 3: Cross multiply
    614.77x = 849.12 × 448.72
  4. Step 4: Simplify right side
    614.77x = 381,017.13
  5. Step 5: Solve for x
    x = 381,017.13/614.77
  6. Step 6: Final answer
    x = 619.77

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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.