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Finding the Fourth Proportional to 884.18, 1,220.34 and 535.06

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Solution

The fourth proportional to 884.18, 1,220.34 and 535.06 is: 738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.18 : 1,220.34 = 535.06 : x
  2. Step 2: Convert to fraction form
    884.18/1,220.34 = 535.06/x
  3. Step 3: Cross multiply
    884.18x = 1,220.34 × 535.06
  4. Step 4: Simplify right side
    884.18x = 652,955.12
  5. Step 5: Solve for x
    x = 652,955.12/884.18
  6. Step 6: Final answer
    x = 738.49

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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.