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Finding the Fourth Proportional to 712.54, 1,068.88 and 295.99

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Solution

The fourth proportional to 712.54, 1,068.88 and 295.99 is: 444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.54 : 1,068.88 = 295.99 : x
  2. Step 2: Convert to fraction form
    712.54/1,068.88 = 295.99/x
  3. Step 3: Cross multiply
    712.54x = 1,068.88 × 295.99
  4. Step 4: Simplify right side
    712.54x = 316,374.38
  5. Step 5: Solve for x
    x = 316,374.38/712.54
  6. Step 6: Final answer
    x = 444.01

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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.