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Finding the Fourth Proportional to 448.76, 617.28 and 383.15

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Solution

The fourth proportional to 448.76, 617.28 and 383.15 is: 527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.76 : 617.28 = 383.15 : x
  2. Step 2: Convert to fraction form
    448.76/617.28 = 383.15/x
  3. Step 3: Cross multiply
    448.76x = 617.28 × 383.15
  4. Step 4: Simplify right side
    448.76x = 236,510.83
  5. Step 5: Solve for x
    x = 236,510.83/448.76
  6. Step 6: Final answer
    x = 527.03

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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.