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Finding the Fourth Proportional to 479.08, 716.70 and 417.64

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Solution

The fourth proportional to 479.08, 716.70 and 417.64 is: 624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.08 : 716.70 = 417.64 : x
  2. Step 2: Convert to fraction form
    479.08/716.70 = 417.64/x
  3. Step 3: Cross multiply
    479.08x = 716.70 × 417.64
  4. Step 4: Simplify right side
    479.08x = 299,322.59
  5. Step 5: Solve for x
    x = 299,322.59/479.08
  6. Step 6: Final answer
    x = 624.79

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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.