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Finding the Fourth Proportional to 521.26, 777.87 and 465.83

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Solution

The fourth proportional to 521.26, 777.87 and 465.83 is: 695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.26 : 777.87 = 465.83 : x
  2. Step 2: Convert to fraction form
    521.26/777.87 = 465.83/x
  3. Step 3: Cross multiply
    521.26x = 777.87 × 465.83
  4. Step 4: Simplify right side
    521.26x = 362,355.18
  5. Step 5: Solve for x
    x = 362,355.18/521.26
  6. Step 6: Final answer
    x = 695.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.