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Finding the Fourth Proportional to 498.65, 688.11 and 312.08

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Solution

The fourth proportional to 498.65, 688.11 and 312.08 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.65 : 688.11 = 312.08 : x
  2. Step 2: Convert to fraction form
    498.65/688.11 = 312.08/x
  3. Step 3: Cross multiply
    498.65x = 688.11 × 312.08
  4. Step 4: Simplify right side
    498.65x = 214,745.37
  5. Step 5: Solve for x
    x = 214,745.37/498.65
  6. Step 6: Final answer
    x = 430.65

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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.