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Finding the Fourth Proportional to 655.60, 904.42 and 393.16

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Solution

The fourth proportional to 655.60, 904.42 and 393.16 is: 542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.60 : 904.42 = 393.16 : x
  2. Step 2: Convert to fraction form
    655.60/904.42 = 393.16/x
  3. Step 3: Cross multiply
    655.60x = 904.42 × 393.16
  4. Step 4: Simplify right side
    655.60x = 355,581.77
  5. Step 5: Solve for x
    x = 355,581.77/655.60
  6. Step 6: Final answer
    x = 542.38

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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.