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Finding the Fourth Proportional to 675.44, 931.43 and 498.10

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Solution

The fourth proportional to 675.44, 931.43 and 498.10 is: 686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.44 : 931.43 = 498.10 : x
  2. Step 2: Convert to fraction form
    675.44/931.43 = 498.10/x
  3. Step 3: Cross multiply
    675.44x = 931.43 × 498.10
  4. Step 4: Simplify right side
    675.44x = 463,945.95
  5. Step 5: Solve for x
    x = 463,945.95/675.44
  6. Step 6: Final answer
    x = 686.88

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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.