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Finding the Fourth Proportional to 867.70, 1,302.90 and 770.50

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Solution

The fourth proportional to 867.70, 1,302.90 and 770.50 is: 1,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.70 : 1,302.90 = 770.50 : x
  2. Step 2: Convert to fraction form
    867.70/1,302.90 = 770.50/x
  3. Step 3: Cross multiply
    867.70x = 1,302.90 × 770.50
  4. Step 4: Simplify right side
    867.70x = 1,003,884.45
  5. Step 5: Solve for x
    x = 1,003,884.45/867.70
  6. Step 6: Final answer
    x = 1,156.95

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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.