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Finding the Fourth Proportional to 962.92, 1,328.82 and 520.81

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Solution

The fourth proportional to 962.92, 1,328.82 and 520.81 is: 718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.92 : 1,328.82 = 520.81 : x
  2. Step 2: Convert to fraction form
    962.92/1,328.82 = 520.81/x
  3. Step 3: Cross multiply
    962.92x = 1,328.82 × 520.81
  4. Step 4: Simplify right side
    962.92x = 692,067.87
  5. Step 5: Solve for x
    x = 692,067.87/962.92
  6. Step 6: Final answer
    x = 718.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.