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Finding the Fourth Proportional to 872.33, 1,308.19 and 526.05

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Solution

The fourth proportional to 872.33, 1,308.19 and 526.05 is: 788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.33 : 1,308.19 = 526.05 : x
  2. Step 2: Convert to fraction form
    872.33/1,308.19 = 526.05/x
  3. Step 3: Cross multiply
    872.33x = 1,308.19 × 526.05
  4. Step 4: Simplify right side
    872.33x = 688,173.35
  5. Step 5: Solve for x
    x = 688,173.35/872.33
  6. Step 6: Final answer
    x = 788.89

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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.