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Finding the Fourth Proportional to 858.64, 1,288.05 and 371.74

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Solution

The fourth proportional to 858.64, 1,288.05 and 371.74 is: 557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.64 : 1,288.05 = 371.74 : x
  2. Step 2: Convert to fraction form
    858.64/1,288.05 = 371.74/x
  3. Step 3: Cross multiply
    858.64x = 1,288.05 × 371.74
  4. Step 4: Simplify right side
    858.64x = 478,815.09
  5. Step 5: Solve for x
    x = 478,815.09/858.64
  6. Step 6: Final answer
    x = 557.65

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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.