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Finding the Fourth Proportional to 931.62, 1,285.82 and 558.82

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Solution

The fourth proportional to 931.62, 1,285.82 and 558.82 is: 771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.62 : 1,285.82 = 558.82 : x
  2. Step 2: Convert to fraction form
    931.62/1,285.82 = 558.82/x
  3. Step 3: Cross multiply
    931.62x = 1,285.82 × 558.82
  4. Step 4: Simplify right side
    931.62x = 718,542.84
  5. Step 5: Solve for x
    x = 718,542.84/931.62
  6. Step 6: Final answer
    x = 771.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.