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Finding the Fourth Proportional to 526.70, 726.95 and 361.16

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Solution

The fourth proportional to 526.70, 726.95 and 361.16 is: 498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.70 : 726.95 = 361.16 : x
  2. Step 2: Convert to fraction form
    526.70/726.95 = 361.16/x
  3. Step 3: Cross multiply
    526.70x = 726.95 × 361.16
  4. Step 4: Simplify right side
    526.70x = 262,544.24
  5. Step 5: Solve for x
    x = 262,544.24/526.70
  6. Step 6: Final answer
    x = 498.47

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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.