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Finding the Fourth Proportional to 421.61, 624.51 and 416.75

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Solution

The fourth proportional to 421.61, 624.51 and 416.75 is: 617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.61 : 624.51 = 416.75 : x
  2. Step 2: Convert to fraction form
    421.61/624.51 = 416.75/x
  3. Step 3: Cross multiply
    421.61x = 624.51 × 416.75
  4. Step 4: Simplify right side
    421.61x = 260,261.42
  5. Step 5: Solve for x
    x = 260,261.42/421.61
  6. Step 6: Final answer
    x = 617.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.