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Finding the Fourth Proportional to 577.15, 794.55 and 429.55

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Solution

The fourth proportional to 577.15, 794.55 and 429.55 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.15 : 794.55 = 429.55 : x
  2. Step 2: Convert to fraction form
    577.15/794.55 = 429.55/x
  3. Step 3: Cross multiply
    577.15x = 794.55 × 429.55
  4. Step 4: Simplify right side
    577.15x = 341,298.95
  5. Step 5: Solve for x
    x = 341,298.95/577.15
  6. Step 6: Final answer
    x = 591.35

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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.