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Finding the Fourth Proportional to 590.69, 815.26 and 442.06

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Solution

The fourth proportional to 590.69, 815.26 and 442.06 is: 610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.69 : 815.26 = 442.06 : x
  2. Step 2: Convert to fraction form
    590.69/815.26 = 442.06/x
  3. Step 3: Cross multiply
    590.69x = 815.26 × 442.06
  4. Step 4: Simplify right side
    590.69x = 360,393.84
  5. Step 5: Solve for x
    x = 360,393.84/590.69
  6. Step 6: Final answer
    x = 610.12

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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.