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Finding the Fourth Proportional to 654.77, 904.39 and 489.72

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Solution

The fourth proportional to 654.77, 904.39 and 489.72 is: 676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.77 : 904.39 = 489.72 : x
  2. Step 2: Convert to fraction form
    654.77/904.39 = 489.72/x
  3. Step 3: Cross multiply
    654.77x = 904.39 × 489.72
  4. Step 4: Simplify right side
    654.77x = 442,897.87
  5. Step 5: Solve for x
    x = 442,897.87/654.77
  6. Step 6: Final answer
    x = 676.42

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1.5x scale

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.