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Finding the Fourth Proportional to 454.78, 627.80 and 307.86

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Solution

The fourth proportional to 454.78, 627.80 and 307.86 is: 424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.78 : 627.80 = 307.86 : x
  2. Step 2: Convert to fraction form
    454.78/627.80 = 307.86/x
  3. Step 3: Cross multiply
    454.78x = 627.80 × 307.86
  4. Step 4: Simplify right side
    454.78x = 193,274.51
  5. Step 5: Solve for x
    x = 193,274.51/454.78
  6. Step 6: Final answer
    x = 424.98

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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.