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Finding the Fourth Proportional to 782.63, 1,078.06 and 572.23

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Solution

The fourth proportional to 782.63, 1,078.06 and 572.23 is: 788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.63 : 1,078.06 = 572.23 : x
  2. Step 2: Convert to fraction form
    782.63/1,078.06 = 572.23/x
  3. Step 3: Cross multiply
    782.63x = 1,078.06 × 572.23
  4. Step 4: Simplify right side
    782.63x = 616,899.26
  5. Step 5: Solve for x
    x = 616,899.26/782.63
  6. Step 6: Final answer
    x = 788.24

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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.