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Finding the Fourth Proportional to 454.16, 623.38 and 429.86

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Solution

The fourth proportional to 454.16, 623.38 and 429.86 is: 590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.16 : 623.38 = 429.86 : x
  2. Step 2: Convert to fraction form
    454.16/623.38 = 429.86/x
  3. Step 3: Cross multiply
    454.16x = 623.38 × 429.86
  4. Step 4: Simplify right side
    454.16x = 267,966.13
  5. Step 5: Solve for x
    x = 267,966.13/454.16
  6. Step 6: Final answer
    x = 590.03

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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.