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Finding the Fourth Proportional to 526.26, 786.63 and 371.16

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Solution

The fourth proportional to 526.26, 786.63 and 371.16 is: 554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.26 : 786.63 = 371.16 : x
  2. Step 2: Convert to fraction form
    526.26/786.63 = 371.16/x
  3. Step 3: Cross multiply
    526.26x = 786.63 × 371.16
  4. Step 4: Simplify right side
    526.26x = 291,965.59
  5. Step 5: Solve for x
    x = 291,965.59/526.26
  6. Step 6: Final answer
    x = 554.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.