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Finding the Fourth Proportional to 571.10, 788.08 and 319.04

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Solution

The fourth proportional to 571.10, 788.08 and 319.04 is: 440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.10 : 788.08 = 319.04 : x
  2. Step 2: Convert to fraction form
    571.10/788.08 = 319.04/x
  3. Step 3: Cross multiply
    571.10x = 788.08 × 319.04
  4. Step 4: Simplify right side
    571.10x = 251,423.51
  5. Step 5: Solve for x
    x = 251,423.51/571.10
  6. Step 6: Final answer
    x = 440.24

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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.