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Finding the Fourth Proportional to 526.47, 785.33 and 511.26

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Solution

The fourth proportional to 526.47, 785.33 and 511.26 is: 762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.47 : 785.33 = 511.26 : x
  2. Step 2: Convert to fraction form
    526.47/785.33 = 511.26/x
  3. Step 3: Cross multiply
    526.47x = 785.33 × 511.26
  4. Step 4: Simplify right side
    526.47x = 401,505.26
  5. Step 5: Solve for x
    x = 401,505.26/526.47
  6. Step 6: Final answer
    x = 762.64

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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.