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Finding the Fourth Proportional to 525.11, 788.42 and 294.45

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Solution

The fourth proportional to 525.11, 788.42 and 294.45 is: 442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.11 : 788.42 = 294.45 : x
  2. Step 2: Convert to fraction form
    525.11/788.42 = 294.45/x
  3. Step 3: Cross multiply
    525.11x = 788.42 × 294.45
  4. Step 4: Simplify right side
    525.11x = 232,148.74
  5. Step 5: Solve for x
    x = 232,148.74/525.11
  6. Step 6: Final answer
    x = 442.10

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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.