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Finding the Fourth Proportional to 460.16, 632.96 and 448.64

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Solution

The fourth proportional to 460.16, 632.96 and 448.64 is: 617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.16 : 632.96 = 448.64 : x
  2. Step 2: Convert to fraction form
    460.16/632.96 = 448.64/x
  3. Step 3: Cross multiply
    460.16x = 632.96 × 448.64
  4. Step 4: Simplify right side
    460.16x = 283,971.17
  5. Step 5: Solve for x
    x = 283,971.17/460.16
  6. Step 6: Final answer
    x = 617.11

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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.