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Finding the Fourth Proportional to 644.24, 965.88 and 530

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Solution

The fourth proportional to 644.24, 965.88 and 530 is: 794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.24 : 965.88 = 530 : x
  2. Step 2: Convert to fraction form
    644.24/965.88 = 530/x
  3. Step 3: Cross multiply
    644.24x = 965.88 × 530
  4. Step 4: Simplify right side
    644.24x = 511,916.40
  5. Step 5: Solve for x
    x = 511,916.40/644.24
  6. Step 6: Final answer
    x = 794.61

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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.