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Finding the Fourth Proportional to 931.88, 1,286 and 582.50

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Solution

The fourth proportional to 931.88, 1,286 and 582.50 is: 803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.88 : 1,286 = 582.50 : x
  2. Step 2: Convert to fraction form
    931.88/1,286 = 582.50/x
  3. Step 3: Cross multiply
    931.88x = 1,286 × 582.50
  4. Step 4: Simplify right side
    931.88x = 749,095
  5. Step 5: Solve for x
    x = 749,095/931.88
  6. Step 6: Final answer
    x = 803.85

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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.