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Finding the Fourth Proportional to 712.53, 1,068.83 and 347.63

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Solution

The fourth proportional to 712.53, 1,068.83 and 347.63 is: 521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.53 : 1,068.83 = 347.63 : x
  2. Step 2: Convert to fraction form
    712.53/1,068.83 = 347.63/x
  3. Step 3: Cross multiply
    712.53x = 1,068.83 × 347.63
  4. Step 4: Simplify right side
    712.53x = 371,550.29
  5. Step 5: Solve for x
    x = 371,550.29/712.53
  6. Step 6: Final answer
    x = 521.45

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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.