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Finding the Fourth Proportional to 786.30, 1,084.78 and 471.57

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Solution

The fourth proportional to 786.30, 1,084.78 and 471.57 is: 650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.30 : 1,084.78 = 471.57 : x
  2. Step 2: Convert to fraction form
    786.30/1,084.78 = 471.57/x
  3. Step 3: Cross multiply
    786.30x = 1,084.78 × 471.57
  4. Step 4: Simplify right side
    786.30x = 511,541.92
  5. Step 5: Solve for x
    x = 511,541.92/786.30
  6. Step 6: Final answer
    x = 650.57

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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.