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Finding the Fourth Proportional to 520.81, 777.20 and 466.13

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Solution

The fourth proportional to 520.81, 777.20 and 466.13 is: 695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.81 : 777.20 = 466.13 : x
  2. Step 2: Convert to fraction form
    520.81/777.20 = 466.13/x
  3. Step 3: Cross multiply
    520.81x = 777.20 × 466.13
  4. Step 4: Simplify right side
    520.81x = 362,275.85
  5. Step 5: Solve for x
    x = 362,275.85/520.81
  6. Step 6: Final answer
    x = 695.60

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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.