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Finding the Fourth Proportional to 489.79, 676.47 and 427.51

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Solution

The fourth proportional to 489.79, 676.47 and 427.51 is: 590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.79 : 676.47 = 427.51 : x
  2. Step 2: Convert to fraction form
    489.79/676.47 = 427.51/x
  3. Step 3: Cross multiply
    489.79x = 676.47 × 427.51
  4. Step 4: Simplify right side
    489.79x = 289,197.69
  5. Step 5: Solve for x
    x = 289,197.69/489.79
  6. Step 6: Final answer
    x = 590.45

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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.