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Finding the Fourth Proportional to 429.07, 590.63 and 370.25

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Solution

The fourth proportional to 429.07, 590.63 and 370.25 is: 509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.07 : 590.63 = 370.25 : x
  2. Step 2: Convert to fraction form
    429.07/590.63 = 370.25/x
  3. Step 3: Cross multiply
    429.07x = 590.63 × 370.25
  4. Step 4: Simplify right side
    429.07x = 218,678.91
  5. Step 5: Solve for x
    x = 218,678.91/429.07
  6. Step 6: Final answer
    x = 509.66

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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.