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Finding the Fourth Proportional to 847.46, 1,169.58 and 780.50

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Solution

The fourth proportional to 847.46, 1,169.58 and 780.50 is: 1,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.46 : 1,169.58 = 780.50 : x
  2. Step 2: Convert to fraction form
    847.46/1,169.58 = 780.50/x
  3. Step 3: Cross multiply
    847.46x = 1,169.58 × 780.50
  4. Step 4: Simplify right side
    847.46x = 912,857.19
  5. Step 5: Solve for x
    x = 912,857.19/847.46
  6. Step 6: Final answer
    x = 1,077.17

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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.