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Finding the Fourth Proportional to 904.62, 1,357 and 519.06

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Solution

The fourth proportional to 904.62, 1,357 and 519.06 is: 778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.62 : 1,357 = 519.06 : x
  2. Step 2: Convert to fraction form
    904.62/1,357 = 519.06/x
  3. Step 3: Cross multiply
    904.62x = 1,357 × 519.06
  4. Step 4: Simplify right side
    904.62x = 704,364.42
  5. Step 5: Solve for x
    x = 704,364.42/904.62
  6. Step 6: Final answer
    x = 778.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.