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Finding the Fourth Proportional to 989.83, 1,365.91 and 570.25

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Solution

The fourth proportional to 989.83, 1,365.91 and 570.25 is: 786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.83 : 1,365.91 = 570.25 : x
  2. Step 2: Convert to fraction form
    989.83/1,365.91 = 570.25/x
  3. Step 3: Cross multiply
    989.83x = 1,365.91 × 570.25
  4. Step 4: Simplify right side
    989.83x = 778,910.18
  5. Step 5: Solve for x
    x = 778,910.18/989.83
  6. Step 6: Final answer
    x = 786.91

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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.