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Finding the Fourth Proportional to 655.48, 904.33 and 393.45

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Solution

The fourth proportional to 655.48, 904.33 and 393.45 is: 542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.48 : 904.33 = 393.45 : x
  2. Step 2: Convert to fraction form
    655.48/904.33 = 393.45/x
  3. Step 3: Cross multiply
    655.48x = 904.33 × 393.45
  4. Step 4: Simplify right side
    655.48x = 355,808.64
  5. Step 5: Solve for x
    x = 355,808.64/655.48
  6. Step 6: Final answer
    x = 542.82

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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.