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Finding the Fourth Proportional to 526.03, 789.80 and 294.86

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Solution

The fourth proportional to 526.03, 789.80 and 294.86 is: 442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.03 : 789.80 = 294.86 : x
  2. Step 2: Convert to fraction form
    526.03/789.80 = 294.86/x
  3. Step 3: Cross multiply
    526.03x = 789.80 × 294.86
  4. Step 4: Simplify right side
    526.03x = 232,880.93
  5. Step 5: Solve for x
    x = 232,880.93/526.03
  6. Step 6: Final answer
    x = 442.72

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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.