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Finding the Fourth Proportional to 856.20, 1,181.76 and 507

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Solution

The fourth proportional to 856.20, 1,181.76 and 507 is: 699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.20 : 1,181.76 = 507 : x
  2. Step 2: Convert to fraction form
    856.20/1,181.76 = 507/x
  3. Step 3: Cross multiply
    856.20x = 1,181.76 × 507
  4. Step 4: Simplify right side
    856.20x = 599,152.32
  5. Step 5: Solve for x
    x = 599,152.32/856.20
  6. Step 6: Final answer
    x = 699.78

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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.