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Finding the Fourth Proportional to 521.57, 779.02 and 472.08

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Solution

The fourth proportional to 521.57, 779.02 and 472.08 is: 705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.57 : 779.02 = 472.08 : x
  2. Step 2: Convert to fraction form
    521.57/779.02 = 472.08/x
  3. Step 3: Cross multiply
    521.57x = 779.02 × 472.08
  4. Step 4: Simplify right side
    521.57x = 367,758.93
  5. Step 5: Solve for x
    x = 367,758.93/521.57
  6. Step 6: Final answer
    x = 705.10

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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.