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Finding the Fourth Proportional to 856.30, 1,181.70 and 483.25

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Solution

The fourth proportional to 856.30, 1,181.70 and 483.25 is: 666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.30 : 1,181.70 = 483.25 : x
  2. Step 2: Convert to fraction form
    856.30/1,181.70 = 483.25/x
  3. Step 3: Cross multiply
    856.30x = 1,181.70 × 483.25
  4. Step 4: Simplify right side
    856.30x = 571,056.53
  5. Step 5: Solve for x
    x = 571,056.53/856.30
  6. Step 6: Final answer
    x = 666.89

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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.