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Finding the Fourth Proportional to 820.49, 1,133.76 and 623.66

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Solution

The fourth proportional to 820.49, 1,133.76 and 623.66 is: 861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.49 : 1,133.76 = 623.66 : x
  2. Step 2: Convert to fraction form
    820.49/1,133.76 = 623.66/x
  3. Step 3: Cross multiply
    820.49x = 1,133.76 × 623.66
  4. Step 4: Simplify right side
    820.49x = 707,080.76
  5. Step 5: Solve for x
    x = 707,080.76/820.49
  6. Step 6: Final answer
    x = 861.78

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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.