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Finding the Fourth Proportional to 775.53, 1,069.86 and 509.87

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Solution

The fourth proportional to 775.53, 1,069.86 and 509.87 is: 703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.53 : 1,069.86 = 509.87 : x
  2. Step 2: Convert to fraction form
    775.53/1,069.86 = 509.87/x
  3. Step 3: Cross multiply
    775.53x = 1,069.86 × 509.87
  4. Step 4: Simplify right side
    775.53x = 545,489.52
  5. Step 5: Solve for x
    x = 545,489.52/775.53
  6. Step 6: Final answer
    x = 703.38

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Double scale
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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.