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Finding the Fourth Proportional to 590.53, 815.31 and 404.35

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Solution

The fourth proportional to 590.53, 815.31 and 404.35 is: 558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.53 : 815.31 = 404.35 : x
  2. Step 2: Convert to fraction form
    590.53/815.31 = 404.35/x
  3. Step 3: Cross multiply
    590.53x = 815.31 × 404.35
  4. Step 4: Simplify right side
    590.53x = 329,670.60
  5. Step 5: Solve for x
    x = 329,670.60/590.53
  6. Step 6: Final answer
    x = 558.26

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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.