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Finding the Fourth Proportional to 619.76, 924.36 and 522.89

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Solution

The fourth proportional to 619.76, 924.36 and 522.89 is: 779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.76 : 924.36 = 522.89 : x
  2. Step 2: Convert to fraction form
    619.76/924.36 = 522.89/x
  3. Step 3: Cross multiply
    619.76x = 924.36 × 522.89
  4. Step 4: Simplify right side
    619.76x = 483,333.98
  5. Step 5: Solve for x
    x = 483,333.98/619.76
  6. Step 6: Final answer
    x = 779.88

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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.