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Finding the Fourth Proportional to 526.51, 788.85 and 320.44

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Solution

The fourth proportional to 526.51, 788.85 and 320.44 is: 480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.51 : 788.85 = 320.44 : x
  2. Step 2: Convert to fraction form
    526.51/788.85 = 320.44/x
  3. Step 3: Cross multiply
    526.51x = 788.85 × 320.44
  4. Step 4: Simplify right side
    526.51x = 252,779.09
  5. Step 5: Solve for x
    x = 252,779.09/526.51
  6. Step 6: Final answer
    x = 480.10

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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.