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Finding the Fourth Proportional to 856.53, 1,182.01 and 463.55

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Solution

The fourth proportional to 856.53, 1,182.01 and 463.55 is: 639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.53 : 1,182.01 = 463.55 : x
  2. Step 2: Convert to fraction form
    856.53/1,182.01 = 463.55/x
  3. Step 3: Cross multiply
    856.53x = 1,182.01 × 463.55
  4. Step 4: Simplify right side
    856.53x = 547,920.74
  5. Step 5: Solve for x
    x = 547,920.74/856.53
  6. Step 6: Final answer
    x = 639.70

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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.