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Finding the Fourth Proportional to 869.84, 1,200.39 and 471.51

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Solution

The fourth proportional to 869.84, 1,200.39 and 471.51 is: 650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.84 : 1,200.39 = 471.51 : x
  2. Step 2: Convert to fraction form
    869.84/1,200.39 = 471.51/x
  3. Step 3: Cross multiply
    869.84x = 1,200.39 × 471.51
  4. Step 4: Simplify right side
    869.84x = 565,993.53
  5. Step 5: Solve for x
    x = 565,993.53/869.84
  6. Step 6: Final answer
    x = 650.69

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Double scale
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1.5x scale

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.