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Finding the Fourth Proportional to 590.69, 815.19 and 416.09

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Solution

The fourth proportional to 590.69, 815.19 and 416.09 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.69 : 815.19 = 416.09 : x
  2. Step 2: Convert to fraction form
    590.69/815.19 = 416.09/x
  3. Step 3: Cross multiply
    590.69x = 815.19 × 416.09
  4. Step 4: Simplify right side
    590.69x = 339,192.41
  5. Step 5: Solve for x
    x = 339,192.41/590.69
  6. Step 6: Final answer
    x = 574.23

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1.5x scale

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.