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Finding the Fourth Proportional to 590.51, 815.96 and 424.44

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Solution

The fourth proportional to 590.51, 815.96 and 424.44 is: 586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.51 : 815.96 = 424.44 : x
  2. Step 2: Convert to fraction form
    590.51/815.96 = 424.44/x
  3. Step 3: Cross multiply
    590.51x = 815.96 × 424.44
  4. Step 4: Simplify right side
    590.51x = 346,324.74
  5. Step 5: Solve for x
    x = 346,324.74/590.51
  6. Step 6: Final answer
    x = 586.49

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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.