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Finding the Fourth Proportional to 498.35, 687.60 and 288.46

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Solution

The fourth proportional to 498.35, 687.60 and 288.46 is: 398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.35 : 687.60 = 288.46 : x
  2. Step 2: Convert to fraction form
    498.35/687.60 = 288.46/x
  3. Step 3: Cross multiply
    498.35x = 687.60 × 288.46
  4. Step 4: Simplify right side
    498.35x = 198,345.10
  5. Step 5: Solve for x
    x = 198,345.10/498.35
  6. Step 6: Final answer
    x = 398.00

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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.