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Finding the Fourth Proportional to 589.72, 814.18 and 456.70

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Solution

The fourth proportional to 589.72, 814.18 and 456.70 is: 630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.72 : 814.18 = 456.70 : x
  2. Step 2: Convert to fraction form
    589.72/814.18 = 456.70/x
  3. Step 3: Cross multiply
    589.72x = 814.18 × 456.70
  4. Step 4: Simplify right side
    589.72x = 371,836.01
  5. Step 5: Solve for x
    x = 371,836.01/589.72
  6. Step 6: Final answer
    x = 630.53

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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.