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Finding the Fourth Proportional to 530.37, 791.08 and 514.17

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Solution

The fourth proportional to 530.37, 791.08 and 514.17 is: 766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.37 : 791.08 = 514.17 : x
  2. Step 2: Convert to fraction form
    530.37/791.08 = 514.17/x
  3. Step 3: Cross multiply
    530.37x = 791.08 × 514.17
  4. Step 4: Simplify right side
    530.37x = 406,748.32
  5. Step 5: Solve for x
    x = 406,748.32/530.37
  6. Step 6: Final answer
    x = 766.91

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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.