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Finding the Fourth Proportional to 775.72, 1,069.70 and 513.64

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Solution

The fourth proportional to 775.72, 1,069.70 and 513.64 is: 708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.72 : 1,069.70 = 513.64 : x
  2. Step 2: Convert to fraction form
    775.72/1,069.70 = 513.64/x
  3. Step 3: Cross multiply
    775.72x = 1,069.70 × 513.64
  4. Step 4: Simplify right side
    775.72x = 549,440.71
  5. Step 5: Solve for x
    x = 549,440.71/775.72
  6. Step 6: Final answer
    x = 708.30

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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.