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Finding the Fourth Proportional to 847.49, 1,169.53 and 474.47

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Solution

The fourth proportional to 847.49, 1,169.53 and 474.47 is: 654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.49 : 1,169.53 = 474.47 : x
  2. Step 2: Convert to fraction form
    847.49/1,169.53 = 474.47/x
  3. Step 3: Cross multiply
    847.49x = 1,169.53 × 474.47
  4. Step 4: Simplify right side
    847.49x = 554,905.23
  5. Step 5: Solve for x
    x = 554,905.23/847.49
  6. Step 6: Final answer
    x = 654.76

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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.