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Finding the Fourth Proportional to 589.88, 810.71 and 458.66

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Solution

The fourth proportional to 589.88, 810.71 and 458.66 is: 630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 810.71 = 458.66 : x
  2. Step 2: Convert to fraction form
    589.88/810.71 = 458.66/x
  3. Step 3: Cross multiply
    589.88x = 810.71 × 458.66
  4. Step 4: Simplify right side
    589.88x = 371,841.70
  5. Step 5: Solve for x
    x = 371,841.70/589.88
  6. Step 6: Final answer
    x = 630.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.