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Finding the Fourth Proportional to 619.46, 924.93 and 528.11

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Solution

The fourth proportional to 619.46, 924.93 and 528.11 is: 788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.46 : 924.93 = 528.11 : x
  2. Step 2: Convert to fraction form
    619.46/924.93 = 528.11/x
  3. Step 3: Cross multiply
    619.46x = 924.93 × 528.11
  4. Step 4: Simplify right side
    619.46x = 488,462.14
  5. Step 5: Solve for x
    x = 488,462.14/619.46
  6. Step 6: Final answer
    x = 788.54

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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.