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Finding the Fourth Proportional to 719.20, 1,077.18 and 430.03

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Solution

The fourth proportional to 719.20, 1,077.18 and 430.03 is: 644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.20 : 1,077.18 = 430.03 : x
  2. Step 2: Convert to fraction form
    719.20/1,077.18 = 430.03/x
  3. Step 3: Cross multiply
    719.20x = 1,077.18 × 430.03
  4. Step 4: Simplify right side
    719.20x = 463,219.72
  5. Step 5: Solve for x
    x = 463,219.72/719.20
  6. Step 6: Final answer
    x = 644.08

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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.