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Finding the Fourth Proportional to 558.65, 770.77 and 322.57

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Solution

The fourth proportional to 558.65, 770.77 and 322.57 is: 445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.65 : 770.77 = 322.57 : x
  2. Step 2: Convert to fraction form
    558.65/770.77 = 322.57/x
  3. Step 3: Cross multiply
    558.65x = 770.77 × 322.57
  4. Step 4: Simplify right side
    558.65x = 248,628.65
  5. Step 5: Solve for x
    x = 248,628.65/558.65
  6. Step 6: Final answer
    x = 445.05

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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.