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Finding the Fourth Proportional to 526.90, 789 and 321.16

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Solution

The fourth proportional to 526.90, 789 and 321.16 is: 480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.90 : 789 = 321.16 : x
  2. Step 2: Convert to fraction form
    526.90/789 = 321.16/x
  3. Step 3: Cross multiply
    526.90x = 789 × 321.16
  4. Step 4: Simplify right side
    526.90x = 253,395.24
  5. Step 5: Solve for x
    x = 253,395.24/526.90
  6. Step 6: Final answer
    x = 480.92

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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.