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Finding the Fourth Proportional to 779.43, 1,074.27 and 530.62

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Solution

The fourth proportional to 779.43, 1,074.27 and 530.62 is: 731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.43 : 1,074.27 = 530.62 : x
  2. Step 2: Convert to fraction form
    779.43/1,074.27 = 530.62/x
  3. Step 3: Cross multiply
    779.43x = 1,074.27 × 530.62
  4. Step 4: Simplify right side
    779.43x = 570,029.15
  5. Step 5: Solve for x
    x = 570,029.15/779.43
  6. Step 6: Final answer
    x = 731.34

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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.