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Finding the Fourth Proportional to 708.85, 978.01 and 446.86

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Solution

The fourth proportional to 708.85, 978.01 and 446.86 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.85 : 978.01 = 446.86 : x
  2. Step 2: Convert to fraction form
    708.85/978.01 = 446.86/x
  3. Step 3: Cross multiply
    708.85x = 978.01 × 446.86
  4. Step 4: Simplify right side
    708.85x = 437,031.31
  5. Step 5: Solve for x
    x = 437,031.31/708.85
  6. Step 6: Final answer
    x = 616.54

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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.