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Finding the Fourth Proportional to 856.13, 1,181.93 and 557.70

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Solution

The fourth proportional to 856.13, 1,181.93 and 557.70 is: 769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.13 : 1,181.93 = 557.70 : x
  2. Step 2: Convert to fraction form
    856.13/1,181.93 = 557.70/x
  3. Step 3: Cross multiply
    856.13x = 1,181.93 × 557.70
  4. Step 4: Simplify right side
    856.13x = 659,159.57
  5. Step 5: Solve for x
    x = 659,159.57/856.13
  6. Step 6: Final answer
    x = 769.93

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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.