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Finding the Fourth Proportional to 856.34, 1,285.32 and 445.77

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Solution

The fourth proportional to 856.34, 1,285.32 and 445.77 is: 669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.34 : 1,285.32 = 445.77 : x
  2. Step 2: Convert to fraction form
    856.34/1,285.32 = 445.77/x
  3. Step 3: Cross multiply
    856.34x = 1,285.32 × 445.77
  4. Step 4: Simplify right side
    856.34x = 572,957.10
  5. Step 5: Solve for x
    x = 572,957.10/856.34
  6. Step 6: Final answer
    x = 669.08

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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.