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Finding the Fourth Proportional to 655.50, 904.19 and 434.37

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Solution

The fourth proportional to 655.50, 904.19 and 434.37 is: 599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.50 : 904.19 = 434.37 : x
  2. Step 2: Convert to fraction form
    655.50/904.19 = 434.37/x
  3. Step 3: Cross multiply
    655.50x = 904.19 × 434.37
  4. Step 4: Simplify right side
    655.50x = 392,750.84
  5. Step 5: Solve for x
    x = 392,750.84/655.50
  6. Step 6: Final answer
    x = 599.16

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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.