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Finding the Fourth Proportional to 559.50, 768.64 and 501.28

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Solution

The fourth proportional to 559.50, 768.64 and 501.28 is: 688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.50 : 768.64 = 501.28 : x
  2. Step 2: Convert to fraction form
    559.50/768.64 = 501.28/x
  3. Step 3: Cross multiply
    559.50x = 768.64 × 501.28
  4. Step 4: Simplify right side
    559.50x = 385,303.86
  5. Step 5: Solve for x
    x = 385,303.86/559.50
  6. Step 6: Final answer
    x = 688.66

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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.