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Finding the Fourth Proportional to 782.36, 1,079.58 and 506.36

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Solution

The fourth proportional to 782.36, 1,079.58 and 506.36 is: 698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.36 : 1,079.58 = 506.36 : x
  2. Step 2: Convert to fraction form
    782.36/1,079.58 = 506.36/x
  3. Step 3: Cross multiply
    782.36x = 1,079.58 × 506.36
  4. Step 4: Simplify right side
    782.36x = 546,656.13
  5. Step 5: Solve for x
    x = 546,656.13/782.36
  6. Step 6: Final answer
    x = 698.73

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1.5x scale

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.