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Finding the Fourth Proportional to 485.29, 727.71 and 312.13

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Solution

The fourth proportional to 485.29, 727.71 and 312.13 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.29 : 727.71 = 312.13 : x
  2. Step 2: Convert to fraction form
    485.29/727.71 = 312.13/x
  3. Step 3: Cross multiply
    485.29x = 727.71 × 312.13
  4. Step 4: Simplify right side
    485.29x = 227,140.12
  5. Step 5: Solve for x
    x = 227,140.12/485.29
  6. Step 6: Final answer
    x = 468.05

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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.