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Finding the Fourth Proportional to 655.47, 904.82 and 498.14

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Solution

The fourth proportional to 655.47, 904.82 and 498.14 is: 687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.47 : 904.82 = 498.14 : x
  2. Step 2: Convert to fraction form
    655.47/904.82 = 498.14/x
  3. Step 3: Cross multiply
    655.47x = 904.82 × 498.14
  4. Step 4: Simplify right side
    655.47x = 450,720.02
  5. Step 5: Solve for x
    x = 450,720.02/655.47
  6. Step 6: Final answer
    x = 687.63

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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.