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Finding the Fourth Proportional to 526.77, 788.81 and 364.77

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Solution

The fourth proportional to 526.77, 788.81 and 364.77 is: 546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.77 : 788.81 = 364.77 : x
  2. Step 2: Convert to fraction form
    526.77/788.81 = 364.77/x
  3. Step 3: Cross multiply
    526.77x = 788.81 × 364.77
  4. Step 4: Simplify right side
    526.77x = 287,732.40
  5. Step 5: Solve for x
    x = 287,732.40/526.77
  6. Step 6: Final answer
    x = 546.22

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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.