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Finding the Fourth Proportional to 1,141.77, 1,712.57 and 320.00

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Solution

The fourth proportional to 1,141.77, 1,712.57 and 320.00 is: 479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.77 : 1,712.57 = 320.00 : x
  2. Step 2: Convert to fraction form
    1,141.77/1,712.57 = 320.00/x
  3. Step 3: Cross multiply
    1,141.77x = 1,712.57 × 320.00
  4. Step 4: Simplify right side
    1,141.77x = 548,022.77
  5. Step 5: Solve for x
    x = 548,022.77/1,141.77
  6. Step 6: Final answer
    x = 479.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.