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Finding the Fourth Proportional to 719.08, 1,076.56 and 487.40

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Solution

The fourth proportional to 719.08, 1,076.56 and 487.40 is: 729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.08 : 1,076.56 = 487.40 : x
  2. Step 2: Convert to fraction form
    719.08/1,076.56 = 487.40/x
  3. Step 3: Cross multiply
    719.08x = 1,076.56 × 487.40
  4. Step 4: Simplify right side
    719.08x = 524,715.34
  5. Step 5: Solve for x
    x = 524,715.34/719.08
  6. Step 6: Final answer
    x = 729.70

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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.