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Finding the Fourth Proportional to 520.76, 777.12 and 465.33

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Solution

The fourth proportional to 520.76, 777.12 and 465.33 is: 694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.76 : 777.12 = 465.33 : x
  2. Step 2: Convert to fraction form
    520.76/777.12 = 465.33/x
  3. Step 3: Cross multiply
    520.76x = 777.12 × 465.33
  4. Step 4: Simplify right side
    520.76x = 361,617.25
  5. Step 5: Solve for x
    x = 361,617.25/520.76
  6. Step 6: Final answer
    x = 694.41

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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.