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Finding the Fourth Proportional to 716.36, 1,072.38 and 524.12

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Solution

The fourth proportional to 716.36, 1,072.38 and 524.12 is: 784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.36 : 1,072.38 = 524.12 : x
  2. Step 2: Convert to fraction form
    716.36/1,072.38 = 524.12/x
  3. Step 3: Cross multiply
    716.36x = 1,072.38 × 524.12
  4. Step 4: Simplify right side
    716.36x = 562,055.81
  5. Step 5: Solve for x
    x = 562,055.81/716.36
  6. Step 6: Final answer
    x = 784.60

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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.