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Finding the Fourth Proportional to 489.94, 731.20 and 448.63

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Solution

The fourth proportional to 489.94, 731.20 and 448.63 is: 669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.94 : 731.20 = 448.63 : x
  2. Step 2: Convert to fraction form
    489.94/731.20 = 448.63/x
  3. Step 3: Cross multiply
    489.94x = 731.20 × 448.63
  4. Step 4: Simplify right side
    489.94x = 328,038.26
  5. Step 5: Solve for x
    x = 328,038.26/489.94
  6. Step 6: Final answer
    x = 669.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.