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Finding the Fourth Proportional to 489.24, 730.08 and 434.70

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Solution

The fourth proportional to 489.24, 730.08 and 434.70 is: 648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.24 : 730.08 = 434.70 : x
  2. Step 2: Convert to fraction form
    489.24/730.08 = 434.70/x
  3. Step 3: Cross multiply
    489.24x = 730.08 × 434.70
  4. Step 4: Simplify right side
    489.24x = 317,365.78
  5. Step 5: Solve for x
    x = 317,365.78/489.24
  6. Step 6: Final answer
    x = 648.69

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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.