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Finding the Fourth Proportional to 489.88, 730.33 and 434.80

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Solution

The fourth proportional to 489.88, 730.33 and 434.80 is: 648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.88 : 730.33 = 434.80 : x
  2. Step 2: Convert to fraction form
    489.88/730.33 = 434.80/x
  3. Step 3: Cross multiply
    489.88x = 730.33 × 434.80
  4. Step 4: Simplify right side
    489.88x = 317,547.48
  5. Step 5: Solve for x
    x = 317,547.48/489.88
  6. Step 6: Final answer
    x = 648.21

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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.