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Finding the Fourth Proportional to 982,500, 1,355,850 and 558,564

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Solution

The fourth proportional to 982,500, 1,355,850 and 558,564 is: 770,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,500 : 1,355,850 = 558,564 : x
  2. Step 2: Convert to fraction form
    982,500/1,355,850 = 558,564/x
  3. Step 3: Cross multiply
    982,500x = 1,355,850 × 558,564
  4. Step 4: Simplify right side
    982,500x = 757,328,999,400
  5. Step 5: Solve for x
    x = 757,328,999,400/982,500
  6. Step 6: Final answer
    x = 770,818.32

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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.