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Finding the Fourth Proportional to 766.90, 1,058.45 and 504.90

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Solution

The fourth proportional to 766.90, 1,058.45 and 504.90 is: 696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.90 : 1,058.45 = 504.90 : x
  2. Step 2: Convert to fraction form
    766.90/1,058.45 = 504.90/x
  3. Step 3: Cross multiply
    766.90x = 1,058.45 × 504.90
  4. Step 4: Simplify right side
    766.90x = 534,411.41
  5. Step 5: Solve for x
    x = 534,411.41/766.90
  6. Step 6: Final answer
    x = 696.85

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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.