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Finding the Fourth Proportional to 1,283.68, 1,770.63 and 786.10

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Solution

The fourth proportional to 1,283.68, 1,770.63 and 786.10 is: 1,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.68 : 1,770.63 = 786.10 : x
  2. Step 2: Convert to fraction form
    1,283.68/1,770.63 = 786.10/x
  3. Step 3: Cross multiply
    1,283.68x = 1,770.63 × 786.10
  4. Step 4: Simplify right side
    1,283.68x = 1,391,892.24
  5. Step 5: Solve for x
    x = 1,391,892.24/1,283.68
  6. Step 6: Final answer
    x = 1,084.30

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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.