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Finding the Fourth Proportional to 530.19, 791.39 and 492.12

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Solution

The fourth proportional to 530.19, 791.39 and 492.12 is: 734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.19 : 791.39 = 492.12 : x
  2. Step 2: Convert to fraction form
    530.19/791.39 = 492.12/x
  3. Step 3: Cross multiply
    530.19x = 791.39 × 492.12
  4. Step 4: Simplify right side
    530.19x = 389,460.08
  5. Step 5: Solve for x
    x = 389,460.08/530.19
  6. Step 6: Final answer
    x = 734.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.