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Finding the Fourth Proportional to 856.64, 1,181.58 and 561.38

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Solution

The fourth proportional to 856.64, 1,181.58 and 561.38 is: 774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.64 : 1,181.58 = 561.38 : x
  2. Step 2: Convert to fraction form
    856.64/1,181.58 = 561.38/x
  3. Step 3: Cross multiply
    856.64x = 1,181.58 × 561.38
  4. Step 4: Simplify right side
    856.64x = 663,315.38
  5. Step 5: Solve for x
    x = 663,315.38/856.64
  6. Step 6: Final answer
    x = 774.32

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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.