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Finding the Fourth Proportional to 656.20, 904.58 and 550.50

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Solution

The fourth proportional to 656.20, 904.58 and 550.50 is: 758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.20 : 904.58 = 550.50 : x
  2. Step 2: Convert to fraction form
    656.20/904.58 = 550.50/x
  3. Step 3: Cross multiply
    656.20x = 904.58 × 550.50
  4. Step 4: Simplify right side
    656.20x = 497,970.31
  5. Step 5: Solve for x
    x = 497,970.31/656.20
  6. Step 6: Final answer
    x = 758.87

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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.