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Finding the Fourth Proportional to 846.10, 1,270.98 and 716.36

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Solution

The fourth proportional to 846.10, 1,270.98 and 716.36 is: 1,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.10 : 1,270.98 = 716.36 : x
  2. Step 2: Convert to fraction form
    846.10/1,270.98 = 716.36/x
  3. Step 3: Cross multiply
    846.10x = 1,270.98 × 716.36
  4. Step 4: Simplify right side
    846.10x = 910,482.41
  5. Step 5: Solve for x
    x = 910,482.41/846.10
  6. Step 6: Final answer
    x = 1,076.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.