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Finding the Fourth Proportional to 913.70, 1,373.58 and 846.06

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Solution

The fourth proportional to 913.70, 1,373.58 and 846.06 is: 1,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.70 : 1,373.58 = 846.06 : x
  2. Step 2: Convert to fraction form
    913.70/1,373.58 = 846.06/x
  3. Step 3: Cross multiply
    913.70x = 1,373.58 × 846.06
  4. Step 4: Simplify right side
    913.70x = 1,162,131.09
  5. Step 5: Solve for x
    x = 1,162,131.09/913.70
  6. Step 6: Final answer
    x = 1,271.90

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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.