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Finding the Fourth Proportional to 610.28, 917.34 and 530.12

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Solution

The fourth proportional to 610.28, 917.34 and 530.12 is: 796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.28 : 917.34 = 530.12 : x
  2. Step 2: Convert to fraction form
    610.28/917.34 = 530.12/x
  3. Step 3: Cross multiply
    610.28x = 917.34 × 530.12
  4. Step 4: Simplify right side
    610.28x = 486,300.28
  5. Step 5: Solve for x
    x = 486,300.28/610.28
  6. Step 6: Final answer
    x = 796.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.