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Finding the Fourth Proportional to 526.48, 788.46 and 294.79

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Solution

The fourth proportional to 526.48, 788.46 and 294.79 is: 441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.48 : 788.46 = 294.79 : x
  2. Step 2: Convert to fraction form
    526.48/788.46 = 294.79/x
  3. Step 3: Cross multiply
    526.48x = 788.46 × 294.79
  4. Step 4: Simplify right side
    526.48x = 232,430.12
  5. Step 5: Solve for x
    x = 232,430.12/526.48
  6. Step 6: Final answer
    x = 441.48

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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.