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Finding the Fourth Proportional to 856.66, 1,285.53 and 492.16

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Solution

The fourth proportional to 856.66, 1,285.53 and 492.16 is: 738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.66 : 1,285.53 = 492.16 : x
  2. Step 2: Convert to fraction form
    856.66/1,285.53 = 492.16/x
  3. Step 3: Cross multiply
    856.66x = 1,285.53 × 492.16
  4. Step 4: Simplify right side
    856.66x = 632,686.44
  5. Step 5: Solve for x
    x = 632,686.44/856.66
  6. Step 6: Final answer
    x = 738.55

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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.