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Finding the Fourth Proportional to 616.44, 920.73 and 530.04

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Solution

The fourth proportional to 616.44, 920.73 and 530.04 is: 791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.44 : 920.73 = 530.04 : x
  2. Step 2: Convert to fraction form
    616.44/920.73 = 530.04/x
  3. Step 3: Cross multiply
    616.44x = 920.73 × 530.04
  4. Step 4: Simplify right side
    616.44x = 488,023.73
  5. Step 5: Solve for x
    x = 488,023.73/616.44
  6. Step 6: Final answer
    x = 791.68

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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.