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Finding the Fourth Proportional to 534.65, 737.63 and 310.48

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Solution

The fourth proportional to 534.65, 737.63 and 310.48 is: 428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.65 : 737.63 = 310.48 : x
  2. Step 2: Convert to fraction form
    534.65/737.63 = 310.48/x
  3. Step 3: Cross multiply
    534.65x = 737.63 × 310.48
  4. Step 4: Simplify right side
    534.65x = 229,019.36
  5. Step 5: Solve for x
    x = 229,019.36/534.65
  6. Step 6: Final answer
    x = 428.35

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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.