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Finding the Fourth Proportional to 866.36, 1,300.08 and 770.24

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Solution

The fourth proportional to 866.36, 1,300.08 and 770.24 is: 1,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.36 : 1,300.08 = 770.24 : x
  2. Step 2: Convert to fraction form
    866.36/1,300.08 = 770.24/x
  3. Step 3: Cross multiply
    866.36x = 1,300.08 × 770.24
  4. Step 4: Simplify right side
    866.36x = 1,001,373.62
  5. Step 5: Solve for x
    x = 1,001,373.62/866.36
  6. Step 6: Final answer
    x = 1,155.84

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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.