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Finding the Fourth Proportional to 719.50, 1,079.16 and 432.76

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Solution

The fourth proportional to 719.50, 1,079.16 and 432.76 is: 649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.50 : 1,079.16 = 432.76 : x
  2. Step 2: Convert to fraction form
    719.50/1,079.16 = 432.76/x
  3. Step 3: Cross multiply
    719.50x = 1,079.16 × 432.76
  4. Step 4: Simplify right side
    719.50x = 467,017.28
  5. Step 5: Solve for x
    x = 467,017.28/719.50
  6. Step 6: Final answer
    x = 649.09

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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.