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Finding the Fourth Proportional to 462.84, 690.88 and 429.05

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Solution

The fourth proportional to 462.84, 690.88 and 429.05 is: 640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 690.88 = 429.05 : x
  2. Step 2: Convert to fraction form
    462.84/690.88 = 429.05/x
  3. Step 3: Cross multiply
    462.84x = 690.88 × 429.05
  4. Step 4: Simplify right side
    462.84x = 296,419.64
  5. Step 5: Solve for x
    x = 296,419.64/462.84
  6. Step 6: Final answer
    x = 640.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.