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Finding the Fourth Proportional to 526.66, 788.10 and 364.46

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Solution

The fourth proportional to 526.66, 788.10 and 364.46 is: 545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.66 : 788.10 = 364.46 : x
  2. Step 2: Convert to fraction form
    526.66/788.10 = 364.46/x
  3. Step 3: Cross multiply
    526.66x = 788.10 × 364.46
  4. Step 4: Simplify right side
    526.66x = 287,230.93
  5. Step 5: Solve for x
    x = 287,230.93/526.66
  6. Step 6: Final answer
    x = 545.38

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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.