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Finding the Fourth Proportional to 589.74, 811.56 and 476.74

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Solution

The fourth proportional to 589.74, 811.56 and 476.74 is: 656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.74 : 811.56 = 476.74 : x
  2. Step 2: Convert to fraction form
    589.74/811.56 = 476.74/x
  3. Step 3: Cross multiply
    589.74x = 811.56 × 476.74
  4. Step 4: Simplify right side
    589.74x = 386,903.11
  5. Step 5: Solve for x
    x = 386,903.11/589.74
  6. Step 6: Final answer
    x = 656.06

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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.