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Finding the Fourth Proportional to 530.20, 743.90 and 530.20

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Solution

The fourth proportional to 530.20, 743.90 and 530.20 is: 743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.20 : 743.90 = 530.20 : x
  2. Step 2: Convert to fraction form
    530.20/743.90 = 530.20/x
  3. Step 3: Cross multiply
    530.20x = 743.90 × 530.20
  4. Step 4: Simplify right side
    530.20x = 394,415.78
  5. Step 5: Solve for x
    x = 394,415.78/530.20
  6. Step 6: Final answer
    x = 743.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.