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Finding the Fourth Proportional to 455.94, 624.48 and 429.35

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Solution

The fourth proportional to 455.94, 624.48 and 429.35 is: 588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.94 : 624.48 = 429.35 : x
  2. Step 2: Convert to fraction form
    455.94/624.48 = 429.35/x
  3. Step 3: Cross multiply
    455.94x = 624.48 × 429.35
  4. Step 4: Simplify right side
    455.94x = 268,117.37
  5. Step 5: Solve for x
    x = 268,117.37/455.94
  6. Step 6: Final answer
    x = 588.05

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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.