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Finding the Fourth Proportional to 785.50, 1,081.35 and 588.67

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Solution

The fourth proportional to 785.50, 1,081.35 and 588.67 is: 810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.50 : 1,081.35 = 588.67 : x
  2. Step 2: Convert to fraction form
    785.50/1,081.35 = 588.67/x
  3. Step 3: Cross multiply
    785.50x = 1,081.35 × 588.67
  4. Step 4: Simplify right side
    785.50x = 636,555.60
  5. Step 5: Solve for x
    x = 636,555.60/785.50
  6. Step 6: Final answer
    x = 810.39

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Double scale
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1.5x scale

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.