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Finding the Fourth Proportional to 530.53, 791.63 and 527.49

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Solution

The fourth proportional to 530.53, 791.63 and 527.49 is: 787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.53 : 791.63 = 527.49 : x
  2. Step 2: Convert to fraction form
    530.53/791.63 = 527.49/x
  3. Step 3: Cross multiply
    530.53x = 791.63 × 527.49
  4. Step 4: Simplify right side
    530.53x = 417,570.97
  5. Step 5: Solve for x
    x = 417,570.97/530.53
  6. Step 6: Final answer
    x = 787.09

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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.