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Finding the Fourth Proportional to 786.48, 1,086.12 and 632.40

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Solution

The fourth proportional to 786.48, 1,086.12 and 632.40 is: 873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.48 : 1,086.12 = 632.40 : x
  2. Step 2: Convert to fraction form
    786.48/1,086.12 = 632.40/x
  3. Step 3: Cross multiply
    786.48x = 1,086.12 × 632.40
  4. Step 4: Simplify right side
    786.48x = 686,862.29
  5. Step 5: Solve for x
    x = 686,862.29/786.48
  6. Step 6: Final answer
    x = 873.34

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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.