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Finding the Fourth Proportional to 455.51, 624.77 and 434.25

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Solution

The fourth proportional to 455.51, 624.77 and 434.25 is: 595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.51 : 624.77 = 434.25 : x
  2. Step 2: Convert to fraction form
    455.51/624.77 = 434.25/x
  3. Step 3: Cross multiply
    455.51x = 624.77 × 434.25
  4. Step 4: Simplify right side
    455.51x = 271,306.37
  5. Step 5: Solve for x
    x = 271,306.37/455.51
  6. Step 6: Final answer
    x = 595.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.