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Finding the Fourth Proportional to 856.54, 1,182.04 and 463.58

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Solution

The fourth proportional to 856.54, 1,182.04 and 463.58 is: 639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.54 : 1,182.04 = 463.58 : x
  2. Step 2: Convert to fraction form
    856.54/1,182.04 = 463.58/x
  3. Step 3: Cross multiply
    856.54x = 1,182.04 × 463.58
  4. Step 4: Simplify right side
    856.54x = 547,970.10
  5. Step 5: Solve for x
    x = 547,970.10/856.54
  6. Step 6: Final answer
    x = 639.75

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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.