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Finding the Fourth Proportional to 788.64, 1,181.68 and 572.36

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Solution

The fourth proportional to 788.64, 1,181.68 and 572.36 is: 857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.64 : 1,181.68 = 572.36 : x
  2. Step 2: Convert to fraction form
    788.64/1,181.68 = 572.36/x
  3. Step 3: Cross multiply
    788.64x = 1,181.68 × 572.36
  4. Step 4: Simplify right side
    788.64x = 676,346.36
  5. Step 5: Solve for x
    x = 676,346.36/788.64
  6. Step 6: Final answer
    x = 857.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.