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Finding the Fourth Proportional to 590.51, 814.62 and 458.61

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Solution

The fourth proportional to 590.51, 814.62 and 458.61 is: 632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.51 : 814.62 = 458.61 : x
  2. Step 2: Convert to fraction form
    590.51/814.62 = 458.61/x
  3. Step 3: Cross multiply
    590.51x = 814.62 × 458.61
  4. Step 4: Simplify right side
    590.51x = 373,592.88
  5. Step 5: Solve for x
    x = 373,592.88/590.51
  6. Step 6: Final answer
    x = 632.66

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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.