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Finding the Fourth Proportional to 654.94, 904.40 and 488.86

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Solution

The fourth proportional to 654.94, 904.40 and 488.86 is: 675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.94 : 904.40 = 488.86 : x
  2. Step 2: Convert to fraction form
    654.94/904.40 = 488.86/x
  3. Step 3: Cross multiply
    654.94x = 904.40 × 488.86
  4. Step 4: Simplify right side
    654.94x = 442,124.98
  5. Step 5: Solve for x
    x = 442,124.98/654.94
  6. Step 6: Final answer
    x = 675.06

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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.