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Finding the Fourth Proportional to 729.63, 1,007.34 and 520.23

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Solution

The fourth proportional to 729.63, 1,007.34 and 520.23 is: 718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.63 : 1,007.34 = 520.23 : x
  2. Step 2: Convert to fraction form
    729.63/1,007.34 = 520.23/x
  3. Step 3: Cross multiply
    729.63x = 1,007.34 × 520.23
  4. Step 4: Simplify right side
    729.63x = 524,048.49
  5. Step 5: Solve for x
    x = 524,048.49/729.63
  6. Step 6: Final answer
    x = 718.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.