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Finding the Fourth Proportional to 1,316.40, 1,816.90 and 867.48

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Solution

The fourth proportional to 1,316.40, 1,816.90 and 867.48 is: 1,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.40 : 1,816.90 = 867.48 : x
  2. Step 2: Convert to fraction form
    1,316.40/1,816.90 = 867.48/x
  3. Step 3: Cross multiply
    1,316.40x = 1,816.90 × 867.48
  4. Step 4: Simplify right side
    1,316.40x = 1,576,126.79
  5. Step 5: Solve for x
    x = 1,576,126.79/1,316.40
  6. Step 6: Final answer
    x = 1,197.30

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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.