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Finding the Fourth Proportional to 782.47, 1,076.43 and 707.95

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Solution

The fourth proportional to 782.47, 1,076.43 and 707.95 is: 973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.47 : 1,076.43 = 707.95 : x
  2. Step 2: Convert to fraction form
    782.47/1,076.43 = 707.95/x
  3. Step 3: Cross multiply
    782.47x = 1,076.43 × 707.95
  4. Step 4: Simplify right side
    782.47x = 762,058.62
  5. Step 5: Solve for x
    x = 762,058.62/782.47
  6. Step 6: Final answer
    x = 973.91

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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.