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Finding the Fourth Proportional to 856.76, 1,182.24 and 483.76

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Solution

The fourth proportional to 856.76, 1,182.24 and 483.76 is: 667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.76 : 1,182.24 = 483.76 : x
  2. Step 2: Convert to fraction form
    856.76/1,182.24 = 483.76/x
  3. Step 3: Cross multiply
    856.76x = 1,182.24 × 483.76
  4. Step 4: Simplify right side
    856.76x = 571,920.42
  5. Step 5: Solve for x
    x = 571,920.42/856.76
  6. Step 6: Final answer
    x = 667.54

Related Problems

Find fourth proportional to 428.38, 591.12 and 241.88
Half scale
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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.