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Finding the Fourth Proportional to 589.07, 810.38 and 509.79

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Solution

The fourth proportional to 589.07, 810.38 and 509.79 is: 701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.07 : 810.38 = 509.79 : x
  2. Step 2: Convert to fraction form
    589.07/810.38 = 509.79/x
  3. Step 3: Cross multiply
    589.07x = 810.38 × 509.79
  4. Step 4: Simplify right side
    589.07x = 413,121.07
  5. Step 5: Solve for x
    x = 413,121.07/589.07
  6. Step 6: Final answer
    x = 701.32

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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.