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Finding the Fourth Proportional to 558.80, 770.96 and 530.72

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Solution

The fourth proportional to 558.80, 770.96 and 530.72 is: 732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.80 : 770.96 = 530.72 : x
  2. Step 2: Convert to fraction form
    558.80/770.96 = 530.72/x
  3. Step 3: Cross multiply
    558.80x = 770.96 × 530.72
  4. Step 4: Simplify right side
    558.80x = 409,163.89
  5. Step 5: Solve for x
    x = 409,163.89/558.80
  6. Step 6: Final answer
    x = 732.22

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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.