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Finding the Fourth Proportional to 856.73, 1,285.23 and 370.13

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Solution

The fourth proportional to 856.73, 1,285.23 and 370.13 is: 555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.73 : 1,285.23 = 370.13 : x
  2. Step 2: Convert to fraction form
    856.73/1,285.23 = 370.13/x
  3. Step 3: Cross multiply
    856.73x = 1,285.23 × 370.13
  4. Step 4: Simplify right side
    856.73x = 475,695.75
  5. Step 5: Solve for x
    x = 475,695.75/856.73
  6. Step 6: Final answer
    x = 555.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.