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Finding the Fourth Proportional to 786.40, 1,085.16 and 471.66

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Solution

The fourth proportional to 786.40, 1,085.16 and 471.66 is: 650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.40 : 1,085.16 = 471.66 : x
  2. Step 2: Convert to fraction form
    786.40/1,085.16 = 471.66/x
  3. Step 3: Cross multiply
    786.40x = 1,085.16 × 471.66
  4. Step 4: Simplify right side
    786.40x = 511,826.57
  5. Step 5: Solve for x
    x = 511,826.57/786.40
  6. Step 6: Final answer
    x = 650.85

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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.