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Finding the Fourth Proportional to 782.25, 1,077.99 and 706.77

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Solution

The fourth proportional to 782.25, 1,077.99 and 706.77 is: 973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.25 : 1,077.99 = 706.77 : x
  2. Step 2: Convert to fraction form
    782.25/1,077.99 = 706.77/x
  3. Step 3: Cross multiply
    782.25x = 1,077.99 × 706.77
  4. Step 4: Simplify right side
    782.25x = 761,890.99
  5. Step 5: Solve for x
    x = 761,890.99/782.25
  6. Step 6: Final answer
    x = 973.97

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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.