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Finding the Fourth Proportional to 883.48, 1,317.44 and 821.92

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Solution

The fourth proportional to 883.48, 1,317.44 and 821.92 is: 1,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.48 : 1,317.44 = 821.92 : x
  2. Step 2: Convert to fraction form
    883.48/1,317.44 = 821.92/x
  3. Step 3: Cross multiply
    883.48x = 1,317.44 × 821.92
  4. Step 4: Simplify right side
    883.48x = 1,082,830.28
  5. Step 5: Solve for x
    x = 1,082,830.28/883.48
  6. Step 6: Final answer
    x = 1,225.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.