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Finding the Fourth Proportional to 858.53, 1,288.27 and 364.86

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Solution

The fourth proportional to 858.53, 1,288.27 and 364.86 is: 547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.53 : 1,288.27 = 364.86 : x
  2. Step 2: Convert to fraction form
    858.53/1,288.27 = 364.86/x
  3. Step 3: Cross multiply
    858.53x = 1,288.27 × 364.86
  4. Step 4: Simplify right side
    858.53x = 470,036.37
  5. Step 5: Solve for x
    x = 470,036.37/858.53
  6. Step 6: Final answer
    x = 547.49

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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.