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Finding the Fourth Proportional to 460.48, 630.48 and 458.86

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Solution

The fourth proportional to 460.48, 630.48 and 458.86 is: 628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.48 : 630.48 = 458.86 : x
  2. Step 2: Convert to fraction form
    460.48/630.48 = 458.86/x
  3. Step 3: Cross multiply
    460.48x = 630.48 × 458.86
  4. Step 4: Simplify right side
    460.48x = 289,302.05
  5. Step 5: Solve for x
    x = 289,302.05/460.48
  6. Step 6: Final answer
    x = 628.26

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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.