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Finding the Fourth Proportional to 530.14, 791.69 and 524.42

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Solution

The fourth proportional to 530.14, 791.69 and 524.42 is: 783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.14 : 791.69 = 524.42 : x
  2. Step 2: Convert to fraction form
    530.14/791.69 = 524.42/x
  3. Step 3: Cross multiply
    530.14x = 791.69 × 524.42
  4. Step 4: Simplify right side
    530.14x = 415,178.07
  5. Step 5: Solve for x
    x = 415,178.07/530.14
  6. Step 6: Final answer
    x = 783.15

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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.