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Finding the Fourth Proportional to 589.49, 811.64 and 500.78

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Solution

The fourth proportional to 589.49, 811.64 and 500.78 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.49 : 811.64 = 500.78 : x
  2. Step 2: Convert to fraction form
    589.49/811.64 = 500.78/x
  3. Step 3: Cross multiply
    589.49x = 811.64 × 500.78
  4. Step 4: Simplify right side
    589.49x = 406,453.08
  5. Step 5: Solve for x
    x = 406,453.08/589.49
  6. Step 6: Final answer
    x = 689.50

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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.