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Finding the Fourth Proportional to 460.13, 630.91 and 446.45

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Solution

The fourth proportional to 460.13, 630.91 and 446.45 is: 612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.13 : 630.91 = 446.45 : x
  2. Step 2: Convert to fraction form
    460.13/630.91 = 446.45/x
  3. Step 3: Cross multiply
    460.13x = 630.91 × 446.45
  4. Step 4: Simplify right side
    460.13x = 281,670.23
  5. Step 5: Solve for x
    x = 281,670.23/460.13
  6. Step 6: Final answer
    x = 612.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.