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Finding the Fourth Proportional to 448.68, 617.76 and 393.10

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Solution

The fourth proportional to 448.68, 617.76 and 393.10 is: 541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.68 : 617.76 = 393.10 : x
  2. Step 2: Convert to fraction form
    448.68/617.76 = 393.10/x
  3. Step 3: Cross multiply
    448.68x = 617.76 × 393.10
  4. Step 4: Simplify right side
    448.68x = 242,841.46
  5. Step 5: Solve for x
    x = 242,841.46/448.68
  6. Step 6: Final answer
    x = 541.24

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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.