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Finding the Fourth Proportional to 883.90, 1,220.82 and 588.64

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Solution

The fourth proportional to 883.90, 1,220.82 and 588.64 is: 813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.90 : 1,220.82 = 588.64 : x
  2. Step 2: Convert to fraction form
    883.90/1,220.82 = 588.64/x
  3. Step 3: Cross multiply
    883.90x = 1,220.82 × 588.64
  4. Step 4: Simplify right side
    883.90x = 718,623.48
  5. Step 5: Solve for x
    x = 718,623.48/883.90
  6. Step 6: Final answer
    x = 813.01

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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.