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Finding the Fourth Proportional to 656.77, 984.55 and 520.69

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Solution

The fourth proportional to 656.77, 984.55 and 520.69 is: 780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.77 : 984.55 = 520.69 : x
  2. Step 2: Convert to fraction form
    656.77/984.55 = 520.69/x
  3. Step 3: Cross multiply
    656.77x = 984.55 × 520.69
  4. Step 4: Simplify right side
    656.77x = 512,642.74
  5. Step 5: Solve for x
    x = 512,642.74/656.77
  6. Step 6: Final answer
    x = 780.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.