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Finding the Fourth Proportional to 589.95, 814.07 and 450.16

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Solution

The fourth proportional to 589.95, 814.07 and 450.16 is: 621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.95 : 814.07 = 450.16 : x
  2. Step 2: Convert to fraction form
    589.95/814.07 = 450.16/x
  3. Step 3: Cross multiply
    589.95x = 814.07 × 450.16
  4. Step 4: Simplify right side
    589.95x = 366,460.84
  5. Step 5: Solve for x
    x = 366,460.84/589.95
  6. Step 6: Final answer
    x = 621.17

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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.