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Finding the Fourth Proportional to 589.77, 814.53 and 458.58

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Solution

The fourth proportional to 589.77, 814.53 and 458.58 is: 633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.77 : 814.53 = 458.58 : x
  2. Step 2: Convert to fraction form
    589.77/814.53 = 458.58/x
  3. Step 3: Cross multiply
    589.77x = 814.53 × 458.58
  4. Step 4: Simplify right side
    589.77x = 373,527.17
  5. Step 5: Solve for x
    x = 373,527.17/589.77
  6. Step 6: Final answer
    x = 633.34

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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.