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Finding the Fourth Proportional to 1,161.64, 1,742.58 and 512.80

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Solution

The fourth proportional to 1,161.64, 1,742.58 and 512.80 is: 769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.64 : 1,742.58 = 512.80 : x
  2. Step 2: Convert to fraction form
    1,161.64/1,742.58 = 512.80/x
  3. Step 3: Cross multiply
    1,161.64x = 1,742.58 × 512.80
  4. Step 4: Simplify right side
    1,161.64x = 893,595.02
  5. Step 5: Solve for x
    x = 893,595.02/1,161.64
  6. Step 6: Final answer
    x = 769.25

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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.