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Finding the Fourth Proportional to 469.86, 648.60 and 420.66

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Solution

The fourth proportional to 469.86, 648.60 and 420.66 is: 580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.86 : 648.60 = 420.66 : x
  2. Step 2: Convert to fraction form
    469.86/648.60 = 420.66/x
  3. Step 3: Cross multiply
    469.86x = 648.60 × 420.66
  4. Step 4: Simplify right side
    469.86x = 272,840.08
  5. Step 5: Solve for x
    x = 272,840.08/469.86
  6. Step 6: Final answer
    x = 580.68

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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.