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Finding the Fourth Proportional to 779.16, 1,074.74 and 517.20

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Solution

The fourth proportional to 779.16, 1,074.74 and 517.20 is: 713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.16 : 1,074.74 = 517.20 : x
  2. Step 2: Convert to fraction form
    779.16/1,074.74 = 517.20/x
  3. Step 3: Cross multiply
    779.16x = 1,074.74 × 517.20
  4. Step 4: Simplify right side
    779.16x = 555,855.53
  5. Step 5: Solve for x
    x = 555,855.53/779.16
  6. Step 6: Final answer
    x = 713.40

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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.