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Finding the Fourth Proportional to 859.37, 1,288.25 and 339.71

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Solution

The fourth proportional to 859.37, 1,288.25 and 339.71 is: 509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.37 : 1,288.25 = 339.71 : x
  2. Step 2: Convert to fraction form
    859.37/1,288.25 = 339.71/x
  3. Step 3: Cross multiply
    859.37x = 1,288.25 × 339.71
  4. Step 4: Simplify right side
    859.37x = 437,629.71
  5. Step 5: Solve for x
    x = 437,629.71/859.37
  6. Step 6: Final answer
    x = 509.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.