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Finding the Fourth Proportional to 883.47, 1,210.20 and 873.75

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Solution

The fourth proportional to 883.47, 1,210.20 and 873.75 is: 1,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.47 : 1,210.20 = 873.75 : x
  2. Step 2: Convert to fraction form
    883.47/1,210.20 = 873.75/x
  3. Step 3: Cross multiply
    883.47x = 1,210.20 × 873.75
  4. Step 4: Simplify right side
    883.47x = 1,057,412.25
  5. Step 5: Solve for x
    x = 1,057,412.25/883.47
  6. Step 6: Final answer
    x = 1,196.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.