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Finding the Fourth Proportional to 720.48, 1,078.29 and 430.50

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Solution

The fourth proportional to 720.48, 1,078.29 and 430.50 is: 644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.48 : 1,078.29 = 430.50 : x
  2. Step 2: Convert to fraction form
    720.48/1,078.29 = 430.50/x
  3. Step 3: Cross multiply
    720.48x = 1,078.29 × 430.50
  4. Step 4: Simplify right side
    720.48x = 464,203.85
  5. Step 5: Solve for x
    x = 464,203.85/720.48
  6. Step 6: Final answer
    x = 644.30

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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.