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Finding the Fourth Proportional to 856.71, 1,182.38 and 525.08

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Solution

The fourth proportional to 856.71, 1,182.38 and 525.08 is: 724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.71 : 1,182.38 = 525.08 : x
  2. Step 2: Convert to fraction form
    856.71/1,182.38 = 525.08/x
  3. Step 3: Cross multiply
    856.71x = 1,182.38 × 525.08
  4. Step 4: Simplify right side
    856.71x = 620,835.55
  5. Step 5: Solve for x
    x = 620,835.55/856.71
  6. Step 6: Final answer
    x = 724.67

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Double scale
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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.