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Finding the Fourth Proportional to 526.65, 727.30 and 361.59

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Solution

The fourth proportional to 526.65, 727.30 and 361.59 is: 499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.65 : 727.30 = 361.59 : x
  2. Step 2: Convert to fraction form
    526.65/727.30 = 361.59/x
  3. Step 3: Cross multiply
    526.65x = 727.30 × 361.59
  4. Step 4: Simplify right side
    526.65x = 262,984.41
  5. Step 5: Solve for x
    x = 262,984.41/526.65
  6. Step 6: Final answer
    x = 499.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.