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Finding the Fourth Proportional to 460.08, 630.77 and 451.89

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Solution

The fourth proportional to 460.08, 630.77 and 451.89 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.08 : 630.77 = 451.89 : x
  2. Step 2: Convert to fraction form
    460.08/630.77 = 451.89/x
  3. Step 3: Cross multiply
    460.08x = 630.77 × 451.89
  4. Step 4: Simplify right side
    460.08x = 285,036.40
  5. Step 5: Solve for x
    x = 285,036.40/460.08
  6. Step 6: Final answer
    x = 619.54

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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.