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Finding the Fourth Proportional to 712.81, 1,068.69 and 317.32

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Solution

The fourth proportional to 712.81, 1,068.69 and 317.32 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.81 : 1,068.69 = 317.32 : x
  2. Step 2: Convert to fraction form
    712.81/1,068.69 = 317.32/x
  3. Step 3: Cross multiply
    712.81x = 1,068.69 × 317.32
  4. Step 4: Simplify right side
    712.81x = 339,116.71
  5. Step 5: Solve for x
    x = 339,116.71/712.81
  6. Step 6: Final answer
    x = 475.75

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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.