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Finding the Fourth Proportional to 788.92, 1,181.62 and 572

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Solution

The fourth proportional to 788.92, 1,181.62 and 572 is: 856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.92 : 1,181.62 = 572 : x
  2. Step 2: Convert to fraction form
    788.92/1,181.62 = 572/x
  3. Step 3: Cross multiply
    788.92x = 1,181.62 × 572
  4. Step 4: Simplify right side
    788.92x = 675,886.64
  5. Step 5: Solve for x
    x = 675,886.64/788.92
  6. Step 6: Final answer
    x = 856.72

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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.