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Finding the Fourth Proportional to 820.74, 1,129.23 and 623.10

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Solution

The fourth proportional to 820.74, 1,129.23 and 623.10 is: 857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.74 : 1,129.23 = 623.10 : x
  2. Step 2: Convert to fraction form
    820.74/1,129.23 = 623.10/x
  3. Step 3: Cross multiply
    820.74x = 1,129.23 × 623.10
  4. Step 4: Simplify right side
    820.74x = 703,623.21
  5. Step 5: Solve for x
    x = 703,623.21/820.74
  6. Step 6: Final answer
    x = 857.30

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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.