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Finding the Fourth Proportional to 589.66, 817.50 and 556.86

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Solution

The fourth proportional to 589.66, 817.50 and 556.86 is: 772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.66 : 817.50 = 556.86 : x
  2. Step 2: Convert to fraction form
    589.66/817.50 = 556.86/x
  3. Step 3: Cross multiply
    589.66x = 817.50 × 556.86
  4. Step 4: Simplify right side
    589.66x = 455,233.05
  5. Step 5: Solve for x
    x = 455,233.05/589.66
  6. Step 6: Final answer
    x = 772.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.