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Finding the Fourth Proportional to 753.06, 1,038.96 and 438.24

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Solution

The fourth proportional to 753.06, 1,038.96 and 438.24 is: 604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.06 : 1,038.96 = 438.24 : x
  2. Step 2: Convert to fraction form
    753.06/1,038.96 = 438.24/x
  3. Step 3: Cross multiply
    753.06x = 1,038.96 × 438.24
  4. Step 4: Simplify right side
    753.06x = 455,313.83
  5. Step 5: Solve for x
    x = 455,313.83/753.06
  6. Step 6: Final answer
    x = 604.62

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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.