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Finding the Fourth Proportional to 479.48, 715.77 and 406.60

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Solution

The fourth proportional to 479.48, 715.77 and 406.60 is: 606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.48 : 715.77 = 406.60 : x
  2. Step 2: Convert to fraction form
    479.48/715.77 = 406.60/x
  3. Step 3: Cross multiply
    479.48x = 715.77 × 406.60
  4. Step 4: Simplify right side
    479.48x = 291,032.08
  5. Step 5: Solve for x
    x = 291,032.08/479.48
  6. Step 6: Final answer
    x = 606.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.