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Finding the Fourth Proportional to 779.03, 1,074.97 and 530.66

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Solution

The fourth proportional to 779.03, 1,074.97 and 530.66 is: 732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.03 : 1,074.97 = 530.66 : x
  2. Step 2: Convert to fraction form
    779.03/1,074.97 = 530.66/x
  3. Step 3: Cross multiply
    779.03x = 1,074.97 × 530.66
  4. Step 4: Simplify right side
    779.03x = 570,443.58
  5. Step 5: Solve for x
    x = 570,443.58/779.03
  6. Step 6: Final answer
    x = 732.25

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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.