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Finding the Fourth Proportional to 590.95, 815.75 and 369.96

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Solution

The fourth proportional to 590.95, 815.75 and 369.96 is: 510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.95 : 815.75 = 369.96 : x
  2. Step 2: Convert to fraction form
    590.95/815.75 = 369.96/x
  3. Step 3: Cross multiply
    590.95x = 815.75 × 369.96
  4. Step 4: Simplify right side
    590.95x = 301,794.87
  5. Step 5: Solve for x
    x = 301,794.87/590.95
  6. Step 6: Final answer
    x = 510.69

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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.