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Finding the Fourth Proportional to 590.23, 815.04 and 451.30

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Solution

The fourth proportional to 590.23, 815.04 and 451.30 is: 623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.23 : 815.04 = 451.30 : x
  2. Step 2: Convert to fraction form
    590.23/815.04 = 451.30/x
  3. Step 3: Cross multiply
    590.23x = 815.04 × 451.30
  4. Step 4: Simplify right side
    590.23x = 367,827.55
  5. Step 5: Solve for x
    x = 367,827.55/590.23
  6. Step 6: Final answer
    x = 623.19

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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.