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Finding the Fourth Proportional to 968.56, 1,451.65 and 474.56

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Solution

The fourth proportional to 968.56, 1,451.65 and 474.56 is: 711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.56 : 1,451.65 = 474.56 : x
  2. Step 2: Convert to fraction form
    968.56/1,451.65 = 474.56/x
  3. Step 3: Cross multiply
    968.56x = 1,451.65 × 474.56
  4. Step 4: Simplify right side
    968.56x = 688,895.02
  5. Step 5: Solve for x
    x = 688,895.02/968.56
  6. Step 6: Final answer
    x = 711.26

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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.