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Finding the Fourth Proportional to 847.28, 1,269.54 and 435.84

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Solution

The fourth proportional to 847.28, 1,269.54 and 435.84 is: 653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.28 : 1,269.54 = 435.84 : x
  2. Step 2: Convert to fraction form
    847.28/1,269.54 = 435.84/x
  3. Step 3: Cross multiply
    847.28x = 1,269.54 × 435.84
  4. Step 4: Simplify right side
    847.28x = 553,316.31
  5. Step 5: Solve for x
    x = 553,316.31/847.28
  6. Step 6: Final answer
    x = 653.05

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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.