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Finding the Fourth Proportional to 530.94, 791.30 and 530.13

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Solution

The fourth proportional to 530.94, 791.30 and 530.13 is: 790.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.94 : 791.30 = 530.13 : x
  2. Step 2: Convert to fraction form
    530.94/791.30 = 530.13/x
  3. Step 3: Cross multiply
    530.94x = 791.30 × 530.13
  4. Step 4: Simplify right side
    530.94x = 419,489.22
  5. Step 5: Solve for x
    x = 419,489.22/530.94
  6. Step 6: Final answer
    x = 790.09

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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.