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Finding the Fourth Proportional to 551.50, 759.15 and 476.77

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Solution

The fourth proportional to 551.50, 759.15 and 476.77 is: 656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.50 : 759.15 = 476.77 : x
  2. Step 2: Convert to fraction form
    551.50/759.15 = 476.77/x
  3. Step 3: Cross multiply
    551.50x = 759.15 × 476.77
  4. Step 4: Simplify right side
    551.50x = 361,941.84
  5. Step 5: Solve for x
    x = 361,941.84/551.50
  6. Step 6: Final answer
    x = 656.29

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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.