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Finding the Fourth Proportional to 521.30, 776.05 and 518.58

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Solution

The fourth proportional to 521.30, 776.05 and 518.58 is: 772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.30 : 776.05 = 518.58 : x
  2. Step 2: Convert to fraction form
    521.30/776.05 = 518.58/x
  3. Step 3: Cross multiply
    521.30x = 776.05 × 518.58
  4. Step 4: Simplify right side
    521.30x = 402,444.01
  5. Step 5: Solve for x
    x = 402,444.01/521.30
  6. Step 6: Final answer
    x = 772.00

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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.