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Finding the Fourth Proportional to 530.30, 794.42 and 347.13

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Solution

The fourth proportional to 530.30, 794.42 and 347.13 is: 520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.30 : 794.42 = 347.13 : x
  2. Step 2: Convert to fraction form
    530.30/794.42 = 347.13/x
  3. Step 3: Cross multiply
    530.30x = 794.42 × 347.13
  4. Step 4: Simplify right side
    530.30x = 275,765.28
  5. Step 5: Solve for x
    x = 275,765.28/530.30
  6. Step 6: Final answer
    x = 520.02

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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.