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Finding the Fourth Proportional to 712.99, 1,068.47 and 301.71

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Solution

The fourth proportional to 712.99, 1,068.47 and 301.71 is: 452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.99 : 1,068.47 = 301.71 : x
  2. Step 2: Convert to fraction form
    712.99/1,068.47 = 301.71/x
  3. Step 3: Cross multiply
    712.99x = 1,068.47 × 301.71
  4. Step 4: Simplify right side
    712.99x = 322,368.08
  5. Step 5: Solve for x
    x = 322,368.08/712.99
  6. Step 6: Final answer
    x = 452.14

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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.