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Finding the Fourth Proportional to 559.16, 770.36 and 533.24

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Solution

The fourth proportional to 559.16, 770.36 and 533.24 is: 734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.16 : 770.36 = 533.24 : x
  2. Step 2: Convert to fraction form
    559.16/770.36 = 533.24/x
  3. Step 3: Cross multiply
    559.16x = 770.36 × 533.24
  4. Step 4: Simplify right side
    559.16x = 410,786.77
  5. Step 5: Solve for x
    x = 410,786.77/559.16
  6. Step 6: Final answer
    x = 734.65

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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.