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Finding the Fourth Proportional to 1,141.74, 1,712.58 and 320.07

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Solution

The fourth proportional to 1,141.74, 1,712.58 and 320.07 is: 480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.74 : 1,712.58 = 320.07 : x
  2. Step 2: Convert to fraction form
    1,141.74/1,712.58 = 320.07/x
  3. Step 3: Cross multiply
    1,141.74x = 1,712.58 × 320.07
  4. Step 4: Simplify right side
    1,141.74x = 548,145.48
  5. Step 5: Solve for x
    x = 548,145.48/1,141.74
  6. Step 6: Final answer
    x = 480.10

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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.