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Finding the Fourth Proportional to 521.04, 777.33 and 506.91

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Solution

The fourth proportional to 521.04, 777.33 and 506.91 is: 756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.04 : 777.33 = 506.91 : x
  2. Step 2: Convert to fraction form
    521.04/777.33 = 506.91/x
  3. Step 3: Cross multiply
    521.04x = 777.33 × 506.91
  4. Step 4: Simplify right side
    521.04x = 394,036.35
  5. Step 5: Solve for x
    x = 394,036.35/521.04
  6. Step 6: Final answer
    x = 756.25

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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.