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Finding the Fourth Proportional to 856.06, 1,285.54 and 560.06

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Solution

The fourth proportional to 856.06, 1,285.54 and 560.06 is: 841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.06 : 1,285.54 = 560.06 : x
  2. Step 2: Convert to fraction form
    856.06/1,285.54 = 560.06/x
  3. Step 3: Cross multiply
    856.06x = 1,285.54 × 560.06
  4. Step 4: Simplify right side
    856.06x = 719,979.53
  5. Step 5: Solve for x
    x = 719,979.53/856.06
  6. Step 6: Final answer
    x = 841.04

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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.