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Finding the Fourth Proportional to 526.68, 790.18 and 309.80

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Solution

The fourth proportional to 526.68, 790.18 and 309.80 is: 464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.68 : 790.18 = 309.80 : x
  2. Step 2: Convert to fraction form
    526.68/790.18 = 309.80/x
  3. Step 3: Cross multiply
    526.68x = 790.18 × 309.80
  4. Step 4: Simplify right side
    526.68x = 244,797.76
  5. Step 5: Solve for x
    x = 244,797.76/526.68
  6. Step 6: Final answer
    x = 464.79

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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.