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Finding the Fourth Proportional to 655.03, 904.40 and 458.81

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Solution

The fourth proportional to 655.03, 904.40 and 458.81 is: 633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.03 : 904.40 = 458.81 : x
  2. Step 2: Convert to fraction form
    655.03/904.40 = 458.81/x
  3. Step 3: Cross multiply
    655.03x = 904.40 × 458.81
  4. Step 4: Simplify right side
    655.03x = 414,946.06
  5. Step 5: Solve for x
    x = 414,946.06/655.03
  6. Step 6: Final answer
    x = 633.48

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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.