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Finding the Fourth Proportional to 711.93, 1,068.68 and 526.27

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Solution

The fourth proportional to 711.93, 1,068.68 and 526.27 is: 789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.93 : 1,068.68 = 526.27 : x
  2. Step 2: Convert to fraction form
    711.93/1,068.68 = 526.27/x
  3. Step 3: Cross multiply
    711.93x = 1,068.68 × 526.27
  4. Step 4: Simplify right side
    711.93x = 562,414.22
  5. Step 5: Solve for x
    x = 562,414.22/711.93
  6. Step 6: Final answer
    x = 789.99

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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.