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Finding the Fourth Proportional to 808.00, 1,113.79 and 586.60

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Solution

The fourth proportional to 808.00, 1,113.79 and 586.60 is: 808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.00 : 1,113.79 = 586.60 : x
  2. Step 2: Convert to fraction form
    808.00/1,113.79 = 586.60/x
  3. Step 3: Cross multiply
    808.00x = 1,113.79 × 586.60
  4. Step 4: Simplify right side
    808.00x = 653,340.71
  5. Step 5: Solve for x
    x = 653,340.71/808.00
  6. Step 6: Final answer
    x = 808.59

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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.