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Finding the Fourth Proportional to 856.74, 1,182.18 and 507.36

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Solution

The fourth proportional to 856.74, 1,182.18 and 507.36 is: 700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.74 : 1,182.18 = 507.36 : x
  2. Step 2: Convert to fraction form
    856.74/1,182.18 = 507.36/x
  3. Step 3: Cross multiply
    856.74x = 1,182.18 × 507.36
  4. Step 4: Simplify right side
    856.74x = 599,790.84
  5. Step 5: Solve for x
    x = 599,790.84/856.74
  6. Step 6: Final answer
    x = 700.09

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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.