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Finding the Fourth Proportional to 451.61, 624.07 and 340.89

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Solution

The fourth proportional to 451.61, 624.07 and 340.89 is: 471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.61 : 624.07 = 340.89 : x
  2. Step 2: Convert to fraction form
    451.61/624.07 = 340.89/x
  3. Step 3: Cross multiply
    451.61x = 624.07 × 340.89
  4. Step 4: Simplify right side
    451.61x = 212,739.22
  5. Step 5: Solve for x
    x = 212,739.22/451.61
  6. Step 6: Final answer
    x = 471.07

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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.