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Finding the Fourth Proportional to 461.63, 635.78 and 429.35

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Solution

The fourth proportional to 461.63, 635.78 and 429.35 is: 591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.63 : 635.78 = 429.35 : x
  2. Step 2: Convert to fraction form
    461.63/635.78 = 429.35/x
  3. Step 3: Cross multiply
    461.63x = 635.78 × 429.35
  4. Step 4: Simplify right side
    461.63x = 272,966.82
  5. Step 5: Solve for x
    x = 272,966.82/461.63
  6. Step 6: Final answer
    x = 591.32

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1.5x scale

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.