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Finding the Fourth Proportional to 860.65, 1,289.71 and 514.06

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Solution

The fourth proportional to 860.65, 1,289.71 and 514.06 is: 770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.65 : 1,289.71 = 514.06 : x
  2. Step 2: Convert to fraction form
    860.65/1,289.71 = 514.06/x
  3. Step 3: Cross multiply
    860.65x = 1,289.71 × 514.06
  4. Step 4: Simplify right side
    860.65x = 662,988.32
  5. Step 5: Solve for x
    x = 662,988.32/860.65
  6. Step 6: Final answer
    x = 770.33

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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.