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Finding the Fourth Proportional to 590.82, 815.84 and 467.16

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Solution

The fourth proportional to 590.82, 815.84 and 467.16 is: 645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.82 : 815.84 = 467.16 : x
  2. Step 2: Convert to fraction form
    590.82/815.84 = 467.16/x
  3. Step 3: Cross multiply
    590.82x = 815.84 × 467.16
  4. Step 4: Simplify right side
    590.82x = 381,127.81
  5. Step 5: Solve for x
    x = 381,127.81/590.82
  6. Step 6: Final answer
    x = 645.08

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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.