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Finding the Fourth Proportional to 811.57, 1,118.73 and 587.40

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Solution

The fourth proportional to 811.57, 1,118.73 and 587.40 is: 809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.57 : 1,118.73 = 587.40 : x
  2. Step 2: Convert to fraction form
    811.57/1,118.73 = 587.40/x
  3. Step 3: Cross multiply
    811.57x = 1,118.73 × 587.40
  4. Step 4: Simplify right side
    811.57x = 657,142.00
  5. Step 5: Solve for x
    x = 657,142.00/811.57
  6. Step 6: Final answer
    x = 809.72

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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.