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Finding the Fourth Proportional to 557.98, 830.63 and 531.45

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Solution

The fourth proportional to 557.98, 830.63 and 531.45 is: 791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.98 : 830.63 = 531.45 : x
  2. Step 2: Convert to fraction form
    557.98/830.63 = 531.45/x
  3. Step 3: Cross multiply
    557.98x = 830.63 × 531.45
  4. Step 4: Simplify right side
    557.98x = 441,439.64
  5. Step 5: Solve for x
    x = 441,439.64/557.98
  6. Step 6: Final answer
    x = 791.14

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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.