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Finding the Fourth Proportional to 498.65, 688.05 and 277.60

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Solution

The fourth proportional to 498.65, 688.05 and 277.60 is: 383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.65 : 688.05 = 277.60 : x
  2. Step 2: Convert to fraction form
    498.65/688.05 = 277.60/x
  3. Step 3: Cross multiply
    498.65x = 688.05 × 277.60
  4. Step 4: Simplify right side
    498.65x = 190,999.93
  5. Step 5: Solve for x
    x = 190,999.93/498.65
  6. Step 6: Final answer
    x = 383.04

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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.