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Finding the Fourth Proportional to 986.96, 1,478.52 and 530

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Solution

The fourth proportional to 986.96, 1,478.52 and 530 is: 793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.96 : 1,478.52 = 530 : x
  2. Step 2: Convert to fraction form
    986.96/1,478.52 = 530/x
  3. Step 3: Cross multiply
    986.96x = 1,478.52 × 530
  4. Step 4: Simplify right side
    986.96x = 783,615.60
  5. Step 5: Solve for x
    x = 783,615.60/986.96
  6. Step 6: Final answer
    x = 793.97

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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.