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Finding the Fourth Proportional to 873.87, 1,310.00 and 526.79

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Solution

The fourth proportional to 873.87, 1,310.00 and 526.79 is: 789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.87 : 1,310.00 = 526.79 : x
  2. Step 2: Convert to fraction form
    873.87/1,310.00 = 526.79/x
  3. Step 3: Cross multiply
    873.87x = 1,310.00 × 526.79
  4. Step 4: Simplify right side
    873.87x = 690,085.72
  5. Step 5: Solve for x
    x = 690,085.72/873.87
  6. Step 6: Final answer
    x = 789.69

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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.